Lp estimates for Dirichlet-to-Neumann operator and applications

In this article, we consider the time dependent linear elliptic problem with dynamic boundary condition. We recall the corresponding Dirichlet-to-Neumann operator on $\Gamma$ denoted by $-\Lambda_\gamma$. Then we show that when $\gamma=1$ near the boundary, $\Lambda_\gamma-\Lambda_1$ is bounded...

Full description

Bibliographic Details
Main Authors: Toufic El Arwadi, Toni Sayah
Format: Article
Language:English
Published: Texas State University 2015-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/258/abstr.html