Faculty Lunchtime Seminar (Prof. Qing Liu)
Title: Convexity in Partial Differential Equations
Abstract: It is well known that the notion of convexity plays a key role in optimization, control theory, mathematical economics and many other areas of science. This talk is a friendly introduction to convex analysis for partial differential equations. After going over a few basic properties about convex sets and convex functions, we will focus on the preservation of spatial convexity of solutions, which is one of the most important geometric properties of numerous evolution equations. Several examples will be given. We will also discuss some recent developments on this topic.
This talk is open to everyone at OIST
Faculty Lunchtime Seminar coordinators & FAO