## The Calvin and Jean Long Distinguished Lecture in Mathematics

# Dr. Lawrence Craig Evans

### "Hidden Convexity in Nonlinear Differential Equations"

#### Wednesday, October 24, 2018

7:00pm in SPARK G45

Please join us for an informative discussion by this year's invited guest lecturer **Dr. Lawrence Craig Evans**, from the University of California, Berkeley.

**Abstract:**

In this expository lecture, I will discuss how nonlinear problems with convex nonlinearities are usually pretty tractable, but that this convex structure may sometimes be "hidden". Examples will include equations for growing sandpiles, for traffic flow, for optimal mass transport and several others.

**Reception:**

Immediately following the lecture we invite you to join us for refreshments in Neill Hall 216 (Hacker Lounge).

**About Dr. Evans:**

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 Nicolai V. Krylov for their proofs, found independently, that solutions of concave, fully nonlinear, uniformly elliptic equations are *C^2,α*. 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 currently the standard introduction to the theory at the graduate level.

In 2012, he became a fellow of the American Mathematical Society. In 2014, he was elected to the National Academy of Sciences. Evans is listed as an ISI highly cited researcher.

Click here to download a lecture flier.