Quantitative Estimate for the Lam\'e System with Rough Coefficients

Speaker

Ching-Lung Lin, National Cheng Kung University

Time

2018.01.31 14:00-15:00

Venue

520 Pao Yue-Kong Library

Abstract

In this talk we study the local behavior of a solution to the Lam'e system when the Lam'e coefficients $\lambda$ and $\mu$ satisfy that $\mu$ is Lipschitz and $\lambda$ is essentially bounded in dimension $n\ge 2$. One of the main results is the \emph{local} doubling inequality for the solution of the Lam'e system. This is a quantitative estimate of the strong unique continuation property. Our proof relies on Carleman estimates with carefully chosen weights.