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Olga Arsenievna Oleinik (also as ''Oleĭnik'')
HFRSE Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This soci ...
(russian: link=no, О́льга Арсе́ньевна Оле́йник) (2 July 1925 – 13 October 2001) was a Soviet mathematician who conducted pioneering work on the theory of
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s, the theory of strongly inhomogeneous elastic media, and the mathematical theory of boundary layers. She was a student of
Ivan Petrovsky Ivan Georgievich Petrovsky (russian: Ива́н Гео́ргиевич Петро́вский) (18 January 1901 – 15 January 1973) (the family name is also transliterated as Petrovskii or Petrowsky) was a Soviet mathematician working mainly in t ...
. She studied and worked at the Moscow State University. She received many prizes for her remarkable contributions: the Chebotarev Prize in 1952; the State Prize 1988; the Petrowsky Prize in 1995; and the Prize of the Russian Academy of Sciences in 1995. Also she was member of several foreign academies of sciences, and earned several honorary degrees.


Life

On 2 May 1985 Olga Oleinik was awarded the laurea
honoris causa An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or ''ad hono ...
by the Sapienza University of Rome, jointly with Fritz John.See .


Work


Research activity

She authored more than 370 mathematical publications and 8 monographs, as the sole author or in collaboration with others: her work covers
algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
, the theory of
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s where her work enlightened various aspects, elasticity theory and boundary layers theory.


Teaching activity

She was an enthusiast and very active teacher, advising the thesis of 57 " candidates".


Selected publications of Olga Oleinik

*. An important paper where the author describes generalized solutions of nonlinear
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s as ''BV'' functions. *. An important paper where the author constructs a weak solution in '' BV'' for a nonlinear
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
with the method of vanishing viscosity. *. An important paper in the theory of the Stefan problem: generalizing earlier work of her doctoral student S. L. Kamenomostskaya, the author proves the existence of a generalized solution for the multi dimensional model. * (reviews of the Russian edition). *. *. *. *. *. *.


See also

* Boundary layer * Bounded variation * Elasticity theory *
Homogenization Homogeneity is a sameness of constituent structure. Homogeneity, homogeneous, or homogenization may also refer to: In mathematics *Transcendental law of homogeneity of Leibniz * Homogeneous space for a Lie group G, or more general transformati ...
*
Partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s * Stefan problem * Weak solutions


Notes


References


Biographical and general references

*. The story of the life of Gaetano Fichera written by his wife, Matelda Colautti Fichera: this reference is important for understanding the friendship between Olga Oleinik, Gaetano Fichera and his wife. *. Some recollections of the authors about Olga Ladyzhenskaya and Olga Oleinik. *. An ample commemorative paper written by three friends/collaborators. * (Also available at the Internet Archive). *. A short obituary notice by Louis Nirenberg. *. Some recollections of the author about Olga Ladyzhenskaya and Olga Oleinik. *. An almost comprehensive obituary article: its English translation is published in the Russian Mathematical Surveys as . *. The "''regest of honoris causa degrees from 1944 to 1985''" (English translation of the title) is itself a detailed and carefully commented regest of all the documents of the official archive of the Sapienza University of Rome pertaining to the honoris causa degrees awarded or not. It includes all the awarding proposals submitted during the considered period, detailed presentations of the work of the candidate, if available, and precise references to related articles published on Italian newspapers and magazines, if the laurea was awarded.


Scientific references

*. This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed. *. This monograph consists of two volumes and is devoted to second-order partial differential equations (mainly, equations with nonnegative characteristic form). A number of problems of qualitative theory (for example, local smoothness and hypoellipticity) are presented, and the work of many contributors, like Olga Oleinik, Gaetano Fichera, the Author himself and others area thoroughly reviewed.


External links

*. The proceedings of a workshop in honour of Olga Ladyzhenskaya and Olga Oleinik. *. *. * *. A biography in th
Biographies of Women Mathematicians
Agnes Scott College Agnes Scott College is a private women's liberal arts college in Decatur, Georgia. The college enrolls approximately 1,000 undergraduate and graduate students. The college is affiliated with the Presbyterian Church and is considered one of the ...
. {{DEFAULTSORT:Oleinik, Olga Arsenievna Soviet mathematicians Soviet women mathematicians 1925 births 2001 deaths 20th-century Russian mathematicians Moscow State University alumni Academic staff of Moscow State University Academic staff of the Moscow Institute of Physics and Technology Full Members of the Russian Academy of Sciences Recipients of the USSR State Prize Algebraic geometers Mathematical physicists PDE theorists Burials in Troyekurovskoye Cemetery