Title: Gradient Estimates for Parabolic Systems from Composite Material

Time: November 8, 2011, 10:30-11:30am

Speaker: 李海刚（北京师范大学）

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Abstract: In this talk we will derive $W^{1,infty}$ and piecewise $C^{1,alpha}$ estimates for solutions, and their $t-$derivatives, of divergence form parabolic systems with coefficients piecewise H"older continuous in space variables $x$ and smooth in $t$. This is an extension to parabolic systems of results of Li and Nirenberg on elliptic systems. These estimates depend on the shape and the size of the surfaces of discontinuity of the coefficients, but are independent of the distance between these surfaces.

This is a joint work with Yanyan Li.