Vladimir Maz'ya
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Vladimir Gilelevich Maz'ya (; born 31 December 1937)See .See , , and . (the
family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give ...
is sometimes
transliterated Transliteration is a type of conversion of a text from one writing system, script to another that involves swapping Letter (alphabet), letters (thus ''wikt:trans-#Prefix, trans-'' + ''wikt:littera#Latin, liter-'') in predictable ways, such as ...
as Mazya, Maz'ja or Mazja) is a
Russia Russia, or the Russian Federation, is a country spanning Eastern Europe and North Asia. It is the list of countries and dependencies by area, largest country in the world, and extends across Time in Russia, eleven time zones, sharing Borders ...
n-born
Swedish Swedish or ' may refer to: Anything from or related to Sweden, a country in Northern Europe. Or, specifically: * Swedish language, a North Germanic language spoken primarily in Sweden and Finland ** Swedish alphabet, the official alphabet used by ...
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, hailed as "one of the most distinguished analysts of our time" and as "an outstanding mathematician of worldwide reputation", who strongly influenced the development of
mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series ( ...
and the theory of partial differential equations. Mazya's early achievements include: his work on
Sobolev space In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense ...
s, in particular the discovery of the equivalence between
Sobolev Sobolev (masculine) and Soboleva (feminine) is a popular Russian surname, derived from the word ''"соболь"'' (sable The sable (''Martes zibellina'') is a species of marten, a small omnivorous mammal primarily inhabiting the forest enviro ...
and isoperimetric/isocapacitary inequalities (1960), his counterexamples related to Hilbert's 19th and Hilbert's 20th problem (1968), his solution, together with Yuri Burago, of a problem in harmonic potential theory (1967) posed by , his extension of the Wiener regularity test to –Laplacian and the proof of its sufficiency for the boundary regularity. Maz'ya solved Vladimir Arnol'd's problem for the
oblique derivative boundary value problem Oblique may refer to: * an alternative name for the character usually called a slash (punctuation) ( / ) *Oblique angle, in geometry * Oblique triangle, in geometry *Oblique lattice, in geometry * Oblique leaf base, a characteristic shape of the b ...
(1970) and Fritz John's problem on the oscillations of a fluid in the presence of an immersed body (1977). In recent years, he proved a Wiener's type criterion for higher order elliptic equations, together with Mikhail Shubin solved a problem in the
spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operator (mathematics), operators in a variety of mathematical ...
of the
Schrödinger operator In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's ''energy spectrum'' or its set of ''energy eigenvalu ...
formulated by
Israel Gelfand Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (, , ; – 5 October 2009) was a prominent Soviet and American mathematician, one of the greatest mathematicians of the 20th century, biologist, teache ...
in 1953, found
necessary and sufficient condition In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For example, in the conditional statement: "If then ", is necessary for , because the truth of ...
s for the validity of
maximum principle In the mathematical fields of differential equations and geometric analysis, the maximum principle is one of the most useful and best known tools of study. Solutions of a differential inequality in a domain ''D'' satisfy the maximum principle i ...
s for elliptic and parabolic systems of PDEs and introduced the so–called
approximate approximations An approximation is anything that is intentionally similar but not exactly equal to something else. Etymology and usage The word ''approximation'' is derived from Latin ''approximatus'', from ''proximus'' meaning ''very near'' and the prefix ' ...
. He also contributed to the development of the theory of capacities, nonlinear potential theory, the
asymptotic In analytic geometry, an asymptote () of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the ''x'' or ''y'' coordinates Limit of a function#Limits at infinity, tends to infinity. In pro ...
and qualitative theory of arbitrary order elliptic equations, the theory of ill-posed problems, the theory of
boundary value problem In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satis ...
s in domains with piecewise smooth boundary.


Biography


Life and academic career

Vladimir Maz'ya was born on 31 December 1937 in a Jewish family.See . His father died in December 1941 at the
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
front Front may refer to: Arts, entertainment, and media Films * ''The Front'' (1943 film), a 1943 Soviet drama film * '' The Front'', 1976 film Music * The Front (band), an American rock band signed to Columbia Records and active in the 1980s and ...
,See . and all four grandparents died during the
siege of Leningrad The siege of Leningrad was a Siege, military blockade undertaken by the Axis powers against the city of Leningrad (present-day Saint Petersburg) in the Soviet Union on the Eastern Front (World War II), Eastern Front of World War II from 1941 t ...
. His mother, a state accountant, chose to not remarry and dedicated her life to him: they lived on her meager salary in a 9
square meters The square metre ( international spelling as used by the International Bureau of Weights and Measures) or square meter (American spelling) is the unit of area in the International System of Units (SI) with symbol m2. It is the area of a square w ...
room in a big communal apartment, shared with other four families. As a
secondary school A secondary school, high school, or senior school, is an institution that provides secondary education. Some secondary schools provide both ''lower secondary education'' (ages 11 to 14) and ''upper secondary education'' (ages 14 to 18), i.e., b ...
student, he repeatedly won the city's
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
and physics olympiads and graduated with a gold medal. In 1955, at the age of 18, Maz'ya entered the Mathematics and Mechanics Department of Leningrad University. Taking part to the traditional mathematical olympiad of the faculty, he solved the problems for both first year and second year students and, since he did not make this a secret, the other participants did not submit their solutions causing the invalidation of the contest by the jury which therefore did not award the prize. However, he attracted the attention of
Solomon Mikhlin Solomon Grigor'evich Mikhlin (, real name Zalman Girshevich Mikhlin) (the family name is also transliterated as Mihlin or Michlin) (23 April 1908 – 29 August 1990) was a Soviet mathematician of who worked in the fields of linear elasticity, si ...
who invited him at his home, thus starting their lifelong friendship: and this friendship had a great influence on him, helping him develop his mathematical style more than anyone else. According to , in the years to come, "''Maz'ya was never a formal student of Mikhlin, but Mikhlin was more than a teacher for him. Maz'ya had found the topics of his dissertations by himself, while Mikhlin taught him mathematical ethics and rules of writing, referring and reviewing''". More details on the life of Vladimir Maz'ya, from his birth to the year 1968, can be found in his autobiography . Maz'ya graduated from Leningrad University in 1960.See , and . The same year he gave two talks at Smirnov's seminar: their contents were published as a short report in the
Proceedings of the USSR Academy of Sciences The ''Proceedings of the USSR Academy of Sciences'' (, ''Doklady Akademii Nauk SSSR'' (''DAN SSSR''), ) was a Soviet journal that was dedicated to publishing original, academic research papers in physics, mathematics, chemistry, geology, and biol ...
See . and later evolved in his "
Candidate of Sciences A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is ...
" thesis, "''Classes of sets and embedding theorems for function spaces''",. See , , and : refer that "''In their reviews, the opponents and the external reviewer noted that the level of the work far exceeded the requirements of the Higher Certification Commission for Ph.D. theses, and his work was recognized as outstanding at the thesis defence in the Academic Council of Moscow State University''". which was defended in 1962. In 1965 he earned the
Doctor of Sciences A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences ...
degree, again from Leningrad University, defending the dissertation "''Dirichlet and Neumann problems in Domains with irregular boundaries''", when he was only 27. Neither the first nor his second thesis were written under the guidance of an advisor: Vladimir Maz'ya never had a formal scientific adviser, choosing the research problems he worked to by himself. From 1960 up to 1986, he worked as a "research fellow" at the Research Institute of Mathematics and Mechanics of Leningrad University (RIMM), being promoted from junior to
senior research fellow A research fellow is an academic research position at a university or a similar research institution, usually for academic staff or faculty members. A research fellow may act either as an independent investigator or under the supervision of a p ...
in 1965. From 1968 to 1978 he taught at the , where he was awarded the title of "
professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other tertiary education, post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin ...
" in 1976. From 1986 to 1990 he worked to the Leningrad Section of the of the
USSR Academy of Sciences The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991. It united the country's leading scientists and was subordinated directly to the Council of Ministers of the Soviet Union (u ...
, where he created and directed the Laboratory of Mathematical Models in Mechanics and the Consulting Center in Mathematics for Engineers. In 1978 he married
Tatyana Shaposhnikova Tatyana Olegovna Shaposhnikova (, born 1946) is a Russian-born Swedes, Swedish mathematician. She is best known for her work in the theory of Multiplier (operator theory), multipliers in function spaces, partial differential operators and hist ...
, a former doctoral student of Solomon Mikhlin, and they have a son, Michael: In 1990, they left the
URSS URSS is an alternative spelling of USSR. In other languages, it stands for ''Unión de Repúblicas Socialistas Soviéticas'' ( Spanish), ''Union des républiques socialistes soviétiques'' ( French), ''Unyon ng mga Republikang Sosyalistang Sobyet'' ...
for Sweden, where Prof. Maz'ya obtained the Swedish
citizenship Citizenship is a membership and allegiance to a sovereign state. Though citizenship is often conflated with nationality in today's English-speaking world, international law does not usually use the term ''citizenship'' to refer to nationalit ...
and started to work at Linköping University.See , , , and . Currently, he is honorary Senior Fellow of Liverpool University and
Professor Emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". ...
at Linköping University: he is also member of the editorial board of several mathematical journals.


Honors

In 1962 Maz'ya was awarded the "Young Mathematician" prize by the Leningrad Mathematical Society, for his results on
Sobolev spaces In mathematics, a Sobolev space is a vector space of functions equipped with a normed space, norm that is a combination of Lp norm, ''Lp''-norms of the function together with its derivatives up to a given order. The derivatives are understood in a ...
: he was the first winner of the prize. In 1990 he was awarded an honorary
doctorate A doctorate (from Latin ''doctor'', meaning "teacher") or doctoral degree is a postgraduate academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' licentia docendi'' ("licence to teach ...
from
Rostock University The University of Rostock () is a public university located in Rostock, Mecklenburg-Vorpommern, Germany. Founded in 1419, it is the List of universities in Germany#Universities by date of establishment, third-oldest university in Germany. It is ...
.See , , and . In 1999, Maz'ya received the
Humboldt Prize The Humboldt Research Award (), also known informally as the Humboldt Prize, is an award given by the Alexander von Humboldt Foundation of Germany to internationally renowned scientists and scholars who work outside of Germany in recognition of ...
. He was elected member of the
Royal Society of Edinburgh The Royal Society of Edinburgh (RSE) is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was establis ...
in 2000, and of the Swedish Academy of Science in 2002. In March 2003, he, jointly with
Tatyana Shaposhnikova Tatyana Olegovna Shaposhnikova (, born 1946) is a Russian-born Swedes, Swedish mathematician. She is best known for her work in the theory of Multiplier (operator theory), multipliers in function spaces, partial differential operators and hist ...
, was awarded the Verdaguer Prize by the
French Academy of Sciences The French Academy of Sciences (, ) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific method, scientific research. It was at the forefron ...
. On 31 August 2004 he was awarded the Celsius Gold Medal, the
Royal Society of Sciences in Uppsala The Royal Society of Sciences in Uppsala (), is the oldest of the royal academies in Sweden, having been founded in 1710. The society has, by royal decree of 1906, 50 Swedish fellows and 100 foreign. Early members included Emanuel Swedenborg an ...
's top award, "''for his outstanding research on partial differential equations and hydrodynamics''". He was awarded the
Senior Whitehead Prize The Senior Whitehead Prize of the London Mathematical Society (LMS) is now awarded in odd numbered years in memory of John Henry Constantine Whitehead, president of the LMS between 1953 and 1955. The Prize is awarded to mathematicians normally r ...
by the
London Mathematical Society The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh ...
on 20 November 2009. In 2012 he was elected fellow of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
. On 30 October 2013 he was elected foreign member of the
Georgian National Academy of Sciences The Georgian National Academy of Sciences (GNAS) ( ka, საქართველოს მეცნიერებათა ეროვნული აკადემია, tr) is the main learned society of Georgia. It was named the Georgia ...
. Starting from 1993, several conferences have been held to honor him: the first one, held in that year at the
University of Kyoto , or , is a national research university in Kyoto, Japan. Founded in 1897, it is one of the former Imperial Universities and the second oldest university in Japan. The university has ten undergraduate faculties, eighteen graduate schools, and t ...
, was a conference on Sobolev spaces.See , and . On the occasion of his 60th birthday in 1998, two international conferences were held in his honor: the one at the
University of Rostock The University of Rostock () is a public university located in Rostock, Mecklenburg-Vorpommern, Germany. Founded in 1419, it is the third-oldest university in Germany. It is the oldest university in continental northern Europe and the Baltic Se ...
was on Sobolev spaces, while the other, at the
École Polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...
in Paris, was on the
boundary element method The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral equations (i.e. in ''boundary integral'' form), including fluid mechanics, acoustics, ele ...
. He was invited speaker at the
International Mathematical Congress The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before ...
held in
Beijing Beijing, Chinese postal romanization, previously romanized as Peking, is the capital city of China. With more than 22 million residents, it is the world's List of national capitals by population, most populous national capital city as well as ...
in 2002: his talk is an exposition on his work on Wiener–type criteria for higher order elliptic equations. Other two conferences were held on the occasion of his 70th birthday: "''Analysis, PDEs and Applications on the occasion of the 70th birthday of Vladimir Maz'ya''" was held in Rome, while the "''Nordic – Russian Symposium in honour of Vladimir Maz'ya on the occasion of his 70th birthday''" was held in Stockholm. On the same occasion, also a volume of the Proceedings of Symposia in
Pure Mathematics Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world concerns, and the results obtained may later turn out to be useful for practical applications ...
was dedicated to him. On the occasion of his 80th birthday, a "Workshop on Sobolev Spaces and Partial Differential Equations" was held on 17–18 May 2018 was held at the
Accademia Nazionale dei Lincei The (; literally the "Academy of the Lynx-Eyed"), anglicised as the Lincean Academy, is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in ...
to honor him. On the 26–31 May 2019, the international conference "
Harmonic Analysis Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded do ...
and PDE" was held in his honor at the Holon Institute of Technology.


Work


Research activity

Maz'ya authored/coauthored more than 500 publications, including 20 research monographs. Several survey articles describing his work can be found in the book , and also the paper by Dorina and Marius Mitrea (2008) describes extensively his research achievements, so these references are the main ones in this section: in particular, the classification of the research work of Vladimir Maz'ya is the one proposed by the authors of these two references. He is also the author of Seventy (Five) Thousand Unsolved Problems in Analysis and Partial Differential Equations which collects problems he considers to be important research directions in the field


Theory of boundary value problems in nonsmooth domains

In one of his early papers, considers the
Dirichlet problem In mathematics, a Dirichlet problem asks for a function which solves a specified partial differential equation (PDE) in the interior of a given region that takes prescribed values on the boundary of the region. The Dirichlet problem can be solved ...
for the following linear elliptic equation: :\mathcal u = \nabla(A(x)\nabla)u+\mathbf(x)\nabla u + c(x)u=f\qquad x\in\Omega\subset\mathbf^n where * is a bounded
region In geography, regions, otherwise referred to as areas, zones, lands or territories, are portions of the Earth's surface that are broadly divided by physical characteristics (physical geography), human impact characteristics (human geography), and ...
in the –
dimensional In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordi ...
euclidean space Euclidean space is the fundamental space of geometry, intended to represent physical space. Originally, in Euclid's ''Elements'', it was the three-dimensional space of Euclidean geometry, but in modern mathematics there are ''Euclidean spaces ...
* is a
matrix Matrix (: matrices or matrixes) or MATRIX may refer to: Science and mathematics * Matrix (mathematics), a rectangular array of numbers, symbols or expressions * Matrix (logic), part of a formula in prenex normal form * Matrix (biology), the m ...
whose first
eigenvalue In linear algebra, an eigenvector ( ) or characteristic vector is a vector that has its direction unchanged (or reversed) by a given linear transformation. More precisely, an eigenvector \mathbf v of a linear transformation T is scaled by a ...
is not less than a fixed
positive Positive is a property of positivity and may refer to: Mathematics and science * Positive formula, a logical formula not containing negation * Positive number, a number that is greater than 0 * Plus sign, the sign "+" used to indicate a positi ...
constant and whose entries are functions sufficiently smooth defined on , the closure of . *, and are respectively a
vector-valued function A vector-valued function, also referred to as a vector function, is a mathematical function of one or more variables whose range is a set of multidimensional vectors or infinite-dimensional vectors. The input of a vector-valued function could ...
and two
scalar function In mathematics and physics, a scalar field is a function associating a single number to each point in a region of space – possibly physical space. The scalar may either be a pure mathematical number (dimensionless) or a scalar physical q ...
s sufficiently smooth on as their matrix counterpart . He proves the following
a priori estimate In the theory of partial differential equations, an ''a priori'' estimate (also called an apriori estimate or ''a priori'' bound) is an estimate for the size of a solution or its derivatives of a partial differential equation. ''A priori'' is Lati ...
:\Vert u \Vert_ \leq K \left \Vert f \Vert_ + \Vert u \Vert_ \right/math> for the
weak solution In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives may not all exist but which is nonetheless deemed to satisfy the equation in some prec ...
of , where is a constant depending on , , and other parameters but not depending on the moduli of continuity of the coefficients. The integrability exponents of the norms in are subject to the relations # for , # is an arbitrary positive number for , the first one of which answers positively to a conjecture proposed by ..


Selected works


Papers

*, translated as . *, translated as . *, translated in English as . *, translated in English as . *


Books

*, translated in English as . *. A definitive monograph, giving a detailed study of
a priori estimate In the theory of partial differential equations, an ''a priori'' estimate (also called an apriori estimate or ''a priori'' bound) is an estimate for the size of a solution or its derivatives of a partial differential equation. ''A priori'' is Lati ...
s of constant coefficient matrix differential operators defined on , with : translated as . * (also available with ). *. * (also available as ). *. *. *. There are also two revised and expanded editions: the
French French may refer to: * Something of, from, or related to France ** French language, which originated in France ** French people, a nation and ethnic group ** French cuisine, cooking traditions and practices Arts and media * The French (band), ...
translation Translation is the communication of the semantics, meaning of a #Source and target languages, source-language text by means of an Dynamic and formal equivalence, equivalent #Source and target languages, target-language text. The English la ...
, and the (further revised and expanded)
Russian Russian(s) may refer to: *Russians (), an ethnic group of the East Slavic peoples, primarily living in Russia and neighboring countries *A citizen of Russia *Russian language, the most widely spoken of the Slavic languages *''The Russians'', a b ...
translation Translation is the communication of the semantics, meaning of a #Source and target languages, source-language text by means of an Dynamic and formal equivalence, equivalent #Source and target languages, target-language text. The English la ...
. *. *. *. *. *. *. *. *. *. *. *. *. *. * (also published with ). First Russian edition published as . *


See also

*
Function space In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which is inherited by the function space. For example, the set of functions from any set into a ve ...
*
Multiplication operator In operator theory, a multiplication operator is a linear operator defined on some vector space of functions and whose value at a function is given by multiplication by a fixed function . That is, T_f\varphi(x) = f(x) \varphi (x) \quad for all ...
*
Partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...
*
Potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that the two fundamental forces of nature known at the time, namely g ...
*
Sobolev space In mathematics, a Sobolev space is a vector space of functions equipped with a norm that is a combination of ''Lp''-norms of the function together with its derivatives up to a given order. The derivatives are understood in a suitable weak sense ...


Notes


References


Biographical and general references

*. A biographical paper written on the occasion of Maz'ya 65th birthday: a freely accessible version is availabl
here
from Prof. Maz'ya website. *. A biographical paper written on the occasion of Maz'ya 70th birthday (a freely accessible English translation is availabl
here
from Prof. Maz'ya web site), translated from the (freely accessible) Russian original . *. *. *. *. Another biographical paper written on the occasion of Maz'ya 70th birthday: a freely accessible version is availabl
here
from Prof. Maz'ya web site. *. Proceedings of the minisymposium held at the
École Polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...
,
Palaiseau Palaiseau () is a commune in the southern suburbs of Paris, France. It is located from the centre of Paris. Palaiseau is a sub-prefecture of the Essonne department and the seat of the Arrondissement of Palaiseau. Palaiseau was a royal doma ...
, 25–29 May 1998. *. *. *. *. A two–volume continuation of the opus "''Mathematics in the
USSR The Union of Soviet Socialist Republics. (USSR), commonly known as the Soviet Union, was a List of former transcontinental countries#Since 1700, transcontinental country that spanned much of Eurasia from 1922 until Dissolution of the Soviet ...
during its first forty years 1917–1957''", describing the developments of Soviet mathematics during the period 1958–1967. Precisely it is meant as a continuation of the second volume of that work and, as such, is titled "''Biobibliography''" (evidently an
acronym An acronym is a type of abbreviation consisting of a phrase whose only pronounced elements are the initial letters or initial sounds of words inside that phrase. Acronyms are often spelled with the initial Letter (alphabet), letter of each wor ...
of
biography A biography, or simply bio, is a detailed description of a person's life. It involves more than just basic facts like education, work, relationships, and death; it portrays a person's experience of these life events. Unlike a profile or curri ...
and
bibliography Bibliography (from and ), as a discipline, is traditionally the academic study of books as physical, cultural objects; in this sense, it is also known as bibliology (from ). English author and bibliographer John Carter describes ''bibliograph ...
). It includes new biographies (when possible, brief and complete) and bibliographies of works published by new Soviet mathematicians during that period, and updates on the work and biographies of scientist included in the former volume, alphabetically ordered with respect to author's surname. *. A list of the winners of the Verdaguer Prize in
PDF Portable document format (PDF), standardized as ISO 32000, is a file format developed by Adobe Inc., Adobe in 1992 to present documents, including text formatting and images, in a manner independent of application software, computer hardware, ...
format, including short motivations for the awarding. *. The membership diploma awarded to Vladimir Maz'ya on the occasion of his election as foreign member of the Georgian National Academy of Sciences. *. *. * *. The summary of the
Candidate of Sciences A Candidate of Sciences is a Doctor of Philosophy, PhD-equivalent academic research degree in all the post-Soviet countries with the exception of Ukraine, and until the 1990s it was also awarded in Central and Eastern European countries. It is ...
thesis of Aben Khvoles, one of the doctoral students of Vladimir Maz'ya. *. * * (e–). * *. *. *. The "''Presentation of prizes and awards''" speech given by the Secretary of the Royal Society of Sciences in Uppsala, written in the "''yearbook 2004''", on the occasion of the awarding of the Society prizes to prof. V. Maz'ya and to other 2004 winners.


Scientific references

*. *. *, translated in English as . *. *. *. *. *. *. *.


Publications and conferences and dedicated to Vladimir Maz'ya

*. * (e–). * *. Proceedings of the minisymposium held at the
École Polytechnique (, ; also known as Polytechnique or l'X ) is a ''grande école'' located in Palaiseau, France. It specializes in science and engineering and is a founding member of the Polytechnic Institute of Paris. The school was founded in 1794 by mat ...
,
Palaiseau Palaiseau () is a commune in the southern suburbs of Paris, France. It is located from the centre of Paris. Palaiseau is a sub-prefecture of the Essonne department and the seat of the Arrondissement of Palaiseau. Palaiseau was a royal doma ...
, 25–29 May 1998. *. *. * (also published with ; ; and ). * (also published with ; ; and ). * (also published with ; ; and ). *. *. *. *.


External links

*
Professor's Maz'ya's home page
{{DEFAULTSORT:Mazya, Vladimir Gilelevich 1937 births Living people Mathematicians from Saint Petersburg Russian Jews Soviet emigrants to Sweden Soviet mathematicians Swedish people of Russian-Jewish descent 20th-century Russian mathematicians 21st-century Russian mathematicians Academics of the University of Liverpool Fellows of the Royal Society of Edinburgh Fellows of the American Mathematical Society Academic staff of Linköping University Mathematical analysts Members of the Royal Swedish Academy of Sciences Partial differential equation theorists