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Lawrence C. Evans
Lawrence Craig Evans (born November 1, 1949) is an American mathematician and Professor of Mathematics at the University of California, Berkeley. His research is in the field of nonlinear partial differential equations, primarily elliptic equations. In 2004, he shared the Leroy P. Steele Prize for Seminal Contribution to Research with Nicolai V. Krylov for their proofs, found independently, that solutions of concave, fully nonlinear, uniformly elliptic equations are C^. Evans also made significant contributions to the development of the theory of viscosity solutions of nonlinear equations, to the understanding of the Hamilton–Jacobi–Bellman equation arising in stochastic optimal control theory, and to the theory of harmonic maps. He is also well known as the author of the textbook ''Partial Differential Equations,'' which is considered as a standard introduction to the theory at the graduate level. His textbook ''Measure theory and fine properties of functions'' (coauthore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Atlanta
Atlanta ( ) is the capital and most populous city of the U.S. state of Georgia. It is the seat of Fulton County, the most populous county in Georgia, but its territory falls in both Fulton and DeKalb counties. With a population of 498,715 living within the city limits, it is the eighth most populous city in the Southeast and 38th most populous city in the United States according to the 2020 U.S. census. It is the core of the much larger Atlanta metropolitan area, which is home to more than 6.1 million people, making it the eighth-largest metropolitan area in the United States. Situated among the foothills of the Appalachian Mountains at an elevation of just over above sea level, it features unique topography that includes rolling hills, lush greenery, and the most dense urban tree coverage of any major city in the United States. Atlanta was originally founded as the terminus of a major state-sponsored railroad, but it soon became the convergence point among several rai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamilton–Jacobi–Bellman Equation
In optimal control theory, the Hamilton-Jacobi-Bellman (HJB) equation gives a necessary and sufficient condition for optimality of a control with respect to a loss function. It is, in general, a nonlinear partial differential equation in the value function, which means its solution the value function itself. Once this solution is known, it can be used to obtain the optimal control by taking the maximizer (or minimizer) of the Hamiltonian involved in the HJB equation. The equation is a result of the theory of dynamic programming which was pioneered in the 1950s by Richard Bellman and coworkers. The connection to the Hamilton–Jacobi equation from classical physics was first drawn by Rudolf Kálmán. In discrete-time problems, the corresponding difference equation is usually referred to as the Bellman equation. While classical variational problems, such as the brachistochrone problem, can be solved using the Hamilton–Jacobi–Bellman equation, the method can be applied to a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paolo Marcellini
Paolo Marcellini (born 25 June 1947 in Fabriano) is an Italian mathematician who deals with mathematical analysis. He is a full professor at the University of Florence. He is the Director of the Italian National Group GNAMPA of the Istituto Nazionale di Alta Matematica Francesco Severi ( INdAM). Biography Marcellini received his Laurea Degree in 1971 at the Sapienza University of Rome and made his postgraduate studies from 1971–1973 at the Scuola Normale Superiore in Pisa under the supervision of Ennio De Giorgi. After that he was assistant and finally a lecturer at the University of Florence, in 1981 full professor at the University of Naples and then at the University of Tor Vergata in Rome. Since 1985 he is Professor of Analysis in Florence. He was there Dean of the Faculty of Mathematics, Physics and Natural Sciences, Director of the Department of Mathematics "Ulisse Dini" and Coordinator of the graduate program in mathematics (PhD Doctoral Studies). He was a visiting sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bernard Dacorogna
Bernard Dacorogna is a Swiss mathematician, born 15 October 1953, in Alexandria, Egypt. He completed his undergraduate studies at the University of Geneva in Switzerland and his Ph.D. at Heriot-Watt University in Edinburgh, UK, in 1980 under the supervision of John M. Ball. He is professor at Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland. He is a specialist of the calculus of variations and of partial differential equations. He has written several articles and booksThe Chaire de la Vallée Poussin 2018of the Université Catholique de Louvain (Belgium) is attributed to him. Books Lecture Notes in Math. Springer-Verlag, Berlin, Vol. 922 (1982)PDFAccording to WorldCat, the book is held in 419 libraries Direct methods in the calculus of variations Springer-Verlag, New-York (1989), 2nd ed. (2007). According to WorldCat, the book is held in 625 librariePDF Imperial College Press, London (2004), 2nd ed. (2009), 3rd ed (2014); According to WorldCat, the book is held ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Luis Caffarelli
Luis Angel Caffarelli (born December 8, 1948) is an Argentine mathematician and luminary in the field of partial differential equations and their applications. Career Caffarelli was born and grew up in Buenos Aires. He obtained his Masters of Science (1968) and Ph.D. (1972) at the University of Buenos Aires. His Ph.D. advisor was Calixto Calderón. He currently holds the Sid Richardson Chair at the University of Texas at Austin. He also has been a professor at the University of Minnesota, the University of Chicago, and the Courant Institute of Mathematical Sciences at New York University. From 1986 to 1996 he was a professor at the Institute for Advanced Study in Princeton. Important results Caffarelli received great recognition with his breakthrough paper "The regularity of free boundaries in higher dimensions" published in 1977 in ''Acta Mathematica''. Since then, he has been considered one of the world's leading experts in free boundary problems and nonlinear partial differ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nicola Fusco
Nicola Fusco (born August 14, 1956 in Napoli) is an Italian mathematician mainly known for his contributions to the fields of calculus of variations, regularity theory of partial differential equations, and the theory of symmetrization. He is currently professor at the Università di Napoli "Federico II". Fusco also taught and conducted research at the Australian National University at Canberra, the Carnegie Mellon University at Pittsburgh and at the University of Florence. He is the Managing Editor of the scientific journal ''Advances in Calculus of Variations'', and member of the editorial boards of various scientific journals. Awards Fusco won the 1994 edition of the Caccioppoli Prize of the Italian Mathematical Union, and, in 2010, the Tartufari Prize from the Accademia Nazionale dei Lincei. In 2008 he was an invited speaker at European Congress of Mathematics and in 2010 he was invited speaker at the International Congress of Mathematicians on the topic of "''Partial Di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michael Grain Crandall
Michael Grain Crandall (born November 29, 1940, in Baton Rouge, Louisiana) is an American mathematician, specializing in differential equations. Mathematical career In 1962 Crandall earned a baccalaureate in engineering physics from University of California, Berkeley, changed to mathematics, earning a master's in 1964 and a PhD in 1965 under Heinz Cordes at Berkeley, with a thesis that solved a problem in celestial mechanics posed by Carl Ludwig Siegel; the thesis title is ''Two families of plane solutions of the four body problem''. In 1965 he was an instructor at Berkeley, in 1966 an assistant professor at Stanford University and from 1969 at the University of California, Los Angeles (UCLA), where he was a professor from 1973 to 1976. From 1974 to 1984 he was a professor at the Mathematics Research Center at the University of Wisconsin–Madison, from 1984 to 1990 as Hille-Professor of Mathematics. From 1988 until his retirement he was a professor at the University of Califo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sloan Fellows
The Sloan Fellows program is the world's first mid-career and senior career master's degree in general management and leadership. It was initially supported by a grant from Alfred P. Sloan, the late CEO of General Motors, to his alma mater, MIT. The program was established in 1930 at the MIT Sloan School of Management. Later it was expanded to the Stanford Graduate School of Business (1957), and London Business School (1968). Considered to be one of the most prestigious management training programs in the world, it targets experienced leaders who have demonstrated success either within organizations, or independently as entrepreneurs. Notable alumni include Kofi Annan, former United Nations Secretary-General and Nobel Peace Prize Laureate (MIT, '72), John Browne, Baron Browne of Madingley, former chairman and CEO of BP and member of the British House of Lords (Stanford, '81), and Carly Fiorina, former CEO of Hewlett-Packard (MIT, '89). History The Sloan Fellows Program was c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nikolay Krylov (mathematician, Born 1941)
Nicolai Vladimirovich Krylov (russian: Никола́й Влади́мирович Крыло́в; born 5 June 1941) is a Russian mathematician specializing in partial differential equations, particularly stochastic partial differential equations and diffusion processes. Krylov studied at Lomonosov University, where he in 1966 under E. B. Dynkin attained a doctoral candidate title (similar to a PhD) and in 1973 a Russian doctoral degree (somewhat more prestigious than a PhD). He taught from 1966 to 1990 at the Lomonosov University and is since 1990 a professor at the University of Minnesota. At the beginning of his career (starting from 1963) he, in collaboration with Dynkin, worked on nonlinear stochastic control theory, making advances in the study of convex, nonlinear partial equations of 2nd order (''i.e.'' Bellman equations), which were examined with stochastic methods. This led to the Evans-Krylov theory, for which he received with Lawrence C. Evans in 2004 the Leroy P. Ste ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steele Prize
The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have been given since 1970, from a bequest of Leroy P. Steele, and were set up in honor of George David Birkhoff, William Fogg Osgood and William Caspar Graustein. The way the prizes are awarded was changed in 1976 and 1993, but the initial aim of honoring expository writing as well as research has been retained. The prizes of $5,000 are not given on a strict national basis, but relate to mathematical activity in the USA, and writing in English (originally, or in translation). Steele Prize for Lifetime Achievement *2023 Nicholas M. Katz *2022 Richard P. Stanley *2021 Spencer Bloch *2020 Karen Uhlenbeck *2019 Jeff Cheeger *2018 Jean Bourgain *2017 James G. Arthur *2016 Barry Simon *2015 Victor Kac *2014 Phillip A. Griffiths *2013 Yakov G. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Maryland
The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of Maryland. It is also the largest university in both the state and the Washington metropolitan area, with more than 41,000 students representing all fifty states and 123 countries, and a global alumni network of over 388,000. Together, its 12 schools and colleges offer over 200 degree-granting programs, including 92 undergraduate majors, 107 master's programs, and 83 doctoral programs. UMD is a member of the Association of American Universities and competes in intercollegiate athletics as a member of the Big Ten Conference. The University of Maryland's proximity to the nation's capital has resulted in many research partnerships with the federal government; faculty receive research funding and institutional support from many agencies, such ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Kentucky
The University of Kentucky (UK, UKY, or U of K) is a Public University, public Land-grant University, land-grant research university in Lexington, Kentucky. Founded in 1865 by John Bryan Bowman as the Agricultural and Mechanical College of Kentucky, the university is one of the state's two land-grant universities (the other being Kentucky State University) and the institution with the highest enrollment in the state, with 30,545 students as of fall 2019. The institution comprises 16 colleges, a graduate school, 93 undergraduate programs, 99 master's degrees, master programs, 66 Doctor of Philosophy, doctoral programs, and four professional programs. It is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity". According to the National Science Foundation, Kentucky spent $393 million on research and development in 2018, ranking it 63rd in the nation. The University of Kentucky has fifteen libraries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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