# Lawrence C. Evans

Lawrence Craig Evans ( born November 1, 1949 in Atlanta, Georgia) is an American mathematician who deals with partial differential equations.

Evans studied at Vanderbilt University (Bachelor 1971) and received his doctorate in 1975 at Michael Crandall at the University of California, Los Angeles ( Nonlinear evolution equations in Banach Space at arbitrary ). Then he was at the University of Kentucky and from 1980 to 1989 at the University of Maryland until 1980. He is at the University of California, Berkeley since 1989 professor. In 1988 he was at the Institute for Advanced Study.

In 2004 he was awarded with Nicolai Krylov Leroy P. Steele Prize of the American Mathematical Society for the Evans - Krylov theory ( simultaneously and independently by two developed ). They proved it convex twice differentiable ( Hölder continuity of the second derivatives ) of the solutions completely nonlinear, uniformly elliptic partial differential equations and thus the existence of "classical solutions " ( set of Evans - Krylov ).

In 1991, he generalized a result of Frédéric Hélein about the regularity of weakly harmonic maps between manifolds, which in turn was generalized by Fabrice Bethuel.

He also worked on viscosity solutions of nonlinear partial differential equations, the Hamilton -Jacobi - Bellman equation in stochastic optimal control theory, the theory of harmonic maps. His textbook on partial differential equations is a common in the U.S. higher education textbook.

In 1986 he was invited speaker at the International Congress of Mathematicians in Berkeley ( Quasiconvexity and partial regularity in the calculus of variations ). He is a Fellow of the American Mathematical Society.

## Writings

- Partial Differential Equations ( Graduate Studies in Mathematics =. Vol. 19). American Mathematical Society, Providence RI 1998, ISBN 0-8218-0772-2 ( 2nd edition. Ibid. 2010, ISBN 978-0-8218-4974-3 ).
- Ronald F. Gariepy: Measure Theory and Fine Properties of Functions. CRC Press, Boca Raton FL, inter alia, 1992, ISBN 0-8493-7157-0.
- Weak convergence methods for nonlinear partial differential equations. ( = Regional Conference Series in Mathematics. Vol. 74). American Mathematical Society, Providence RI, 1990, ISBN 0-8218-0724-2.