Avner Friedman

Avner Friedman ( born November 19, 1932 in Israel) is an Israeli- American mathematician. It deals with partial differential equations and their applications.

Friedman graduated from the Hebrew University in Jerusalem with a diploma degree in 1954 and his doctorate in 1956 Shmuel Agmon (Linear partial differential equations of elliptic type). As a post - graduate student, he was at the University of Kansas, was in 1957/58 Lecturer at Indiana University and 1958/59 Visiting Assistant Professor at the University of California, Berkeley. 1959 to 1961 he was associate professor at the Minnesota Center for Industrial Mathematics and 1961/62 Visiting Associate Professor at Stanford University. From 1962 to 1984 he was a professor at Northwestern University. From 1985 to 1987 he was Duncan Distinguished Professor of Mathematics at Purdue University, and he is since 1987 professor at the University of Minnesota, where he from 1987 to 1999 director of the Institute for Mathematics and its Applications 1994 to 2001 and was director of the Minnesota Center for Industrial Mathematics. He was there regent professor. He became a professor at Ohio State University in 2001. He is Distinguished University Professor there. From 2002 to 2008 he was Director of the Mathematical Biosciences Institute, which he founded.

He has been a visiting professor in Tel Aviv ( 1966/67, 1970 /71) and 1982-1987 Visiting Fellow at the University of Oxford. It deals with (nonlinear) partial differential equations and their applications in mathematical modeling, particularly in problems with free boundary conditions (such as moving boundaries ) and phase transitions, with Differential games and stochastic control.

Friedman is a member of the National Academy of Sciences (1993 ), the American Association for the Advancement of Science and the American Academy of Arts and Sciences. 1993 to 1995 he was president of SIAM. In 1982 he received the Stampacchia price. 1962 to 1965 he was a Sloan Fellow and 1966/67, Guggenheim Fellow. In 2012 he became a Fellow of the American Mathematical Society.

He is a U.S. citizen.

Writings

  • Differential Games, Wiley 1971
  • Foundations of Modern Analysis, Holt, Rinehart and Winston, 1970, Dover 1982
  • Advanced Calculus, Holt, Rinehart and Winston 1971
  • Variational principles and free boundary problems, warrior 1982 1988
  • Partial Differential Equations of parabolic type, Prentice- Hall 1964
  • Partial Differential Equations, Holt, Rinehart and Winston, 1969 ( Reprint Krieger 1976)
  • Generalized functions and partial differential equations, Dover 2005
  • Stochastic differential equations and applications, Dover 2006 ( first in 2 volumes, Academic Press 1976)
  • With David S. Ross Mathematical models in photographic science, Springer Verlag 2003
  • With Walter Litman: Industrial mathematics: a course in solving real -world problems, SIAM 1994
  • Publisher: Mathematics in Industrial problem, Springer Verlag, 10 volumes, from 1988
  • With Baltazar Aguda: Models of cellular regulation, Oxford University Press 2012
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