Lawrence C. Evans
Encyclopedia
Lawrence Craig Evans is an American
mathematician
and Professor of Mathematics at the University of California, Berkeley
. He received his Ph.D. with thesis advisor Michael G. Crandall at the University of California, Los Angeles
in 1975.
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 Nikolai V. Krylov for their proofs, found independently, that solutions of concave, fully nonlinear, uniformly elliptic equations are twice differentiable. Evans also made significant contributions to the development of the theory of viscosity solution
s 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 currently the standard introduction to the theory at the graduate level.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and Professor of Mathematics at the University of California, Berkeley
University of California, Berkeley
The University of California, Berkeley , is a teaching and research university established in 1868 and located in Berkeley, California, USA...
. He received his Ph.D. with thesis advisor Michael G. Crandall at the University of California, Los Angeles
University of California, Los Angeles
The University of California, Los Angeles is a public research university located in the Westwood neighborhood of Los Angeles, California, USA. It was founded in 1919 as the "Southern Branch" of the University of California and is the second oldest of the ten campuses...
in 1975.
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 Nikolai V. Krylov for their proofs, found independently, that solutions of concave, fully nonlinear, uniformly elliptic equations are twice differentiable. Evans also made significant contributions to the development of the theory of viscosity solution
Viscosity solution
In mathematics, the viscosity solution concept was introduced in the early 1980s by Pierre-Louis Lions and Michael Crandall as a generalization of the classical concept of what is meant by a 'solution' to a partial differential equation...
s of nonlinear equations, to the understanding of the Hamilton-Jacobi-Bellman equation
Hamilton-Jacobi-Bellman equation
The Hamilton–Jacobi–Bellman equation is a partial differential equation which is central to optimal control theory. The solution of the HJB equation is the 'value function', which gives the optimal cost-to-go for a given dynamical system with an associated cost function.When solved locally, the...
arising in stochastic optimal control
Optimal control
Optimal control theory, an extension of the calculus of variations, is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and his collaborators in the Soviet Union and Richard Bellman in the United States.-General method:Optimal...
theory, and to the theory of harmonic maps. He is also well-known as the author of the textbook Partial Differential Equations, which is currently the standard introduction to the theory at the graduate level.
External links
- Homepage at Berkeley (with picture).
- His homepage