Lawrence C. Evans

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 2 , α {\displaystyle C^{2,\alpha }} . 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 (coauthored with Ronald Gariepy), an exposition on Hausdorff measure, capacity, Sobolev functions, and sets of finite perimeter, is also widely cited.

Lawrence Craig Evans (born November 1, 1949) is an American mathematician and Professor of Mathematics at the University of California, Berkeley.

Lawrence Evans was born November 1, 1949 in Atlanta, Georgia. He received a BA from Vanderbilt University in 1971 and a PhD, with thesis advisor Michael G. Crandall, from the University of California, Los Angeles in 1975. From 1975 to 1980, he worked at the University of Kentucky; from 1980 to 1989, at the University of Maryland; and since 1989, at the University of California, Berkeley.