2023 - Research.com Mathematics in United States Leader Award
2013 - Fellow of the American Mathematical Society
2009 - SIAM Fellow For contributions to partial differential equations and their applications.
1993 - Member of the National Academy of Sciences
1987 - Fellow of the American Academy of Arts and Sciences
1966 - Fellow of John Simon Guggenheim Memorial Foundation
1962 - Fellow of Alfred P. Sloan Foundation
His scientific interests lie mostly in Mathematical analysis, Boundary, Applied mathematics, Free boundary problem and Partial differential equation. His Mathematical analysis study frequently involves adjacent topics like Nonlinear system. His biological study spans a wide range of topics, including Flow, Mechanics, Inverse problem, Combinatorics and Porous medium.
His Applied mathematics research is multidisciplinary, incorporating elements of Stefan problem and Differential, Calculus. His study looks at the relationship between Free boundary problem and fields such as Bifurcation, as well as how they intersect with chemical problems. Avner Friedman usually deals with Exponential integrator and limits it to topics linked to Symbol of a differential operator and Hyperbolic partial differential equation.
Mathematical analysis, Boundary, Free boundary problem, Applied mathematics and Nonlinear system are his primary areas of study. His study in Boundary value problem, Parabolic partial differential equation, Partial differential equation, Hyperbolic partial differential equation and Uniqueness falls under the purview of Mathematical analysis. He is interested in Mixed boundary condition, which is a field of Boundary value problem.
As part of his studies on Parabolic partial differential equation, Avner Friedman often connects relevant subjects like Elliptic partial differential equation. His study ties his expertise on Geometry together with the subject of Boundary.
Avner Friedman mainly focuses on Immunology, Cancer research, Mathematical analysis, Boundary and Internal medicine. His Immunology research focuses on subjects like Lung, which are linked to Mycobacterium tuberculosis. The Cancer research study combines topics in areas such as Cancer cell, Cancer, Interleukin 12 and Combination therapy.
Avner Friedman has researched Mathematical analysis in several fields, including Simple, Exponential stability and Diffusion equation. In his research, Partial differential equation is intimately related to Uniqueness, which falls under the overarching field of Boundary. Avner Friedman combines subjects such as Applied mathematics, Parabolic partial differential equation, Stability and Bifurcation with his study of Free boundary problem.
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Partial Differential Equations of Parabolic Type
Avner Friedman.
(1964)
Stochastic Differential Equations and Applications
Avner Friedman.
(1975)
Partial differential equations
Avner Friedman.
(1969)
Variational principles and free-boundary problems
Avner Friedman.
(1982)
Differential games
Avner Friedman.
(1971)
Blow-up of positive solutions of semilinear heat equations
A. Friedman.
Indiana University Mathematics Journal (1985)
Foundations of modern analysis
Avner Friedman.
(1970)
Higher order nonlinear degenerate parabolic equations
Francisco Bernis;Avner Friedman.
Journal of Differential Equations (1990)
The IMA volumes in mathematics and its applications
Avner Friedman;Willard Miller.
(1986)
Variational problems with two phases and their free boundaries
Hans Wilhelm Alt;Luis A. Caffarelli;Avner Friedman.
Transactions of the American Mathematical Society (1984)
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