Elliptic estimates for Dirichlet-Neumann operator on a corner domain
Analysis of PDEs
2016-09-27 v3
Abstract
We consider the elliptic estimates for Dirichlet-Neumann operator related to the water-wave problem on a two-dimensional corner domain in this paper. Due to the singularity of the boundary, there will be singular parts in the solution of the elliptic problem for D-N operator. To begin with, we study elliptic problems with mixed boundary condition to derive singularity decompositions and estimates. Based on the analysis, we present the estimates for both D-N operator and its shape derivative with the existence of singular parts.
Cite
@article{arxiv.1512.03271,
title = {Elliptic estimates for Dirichlet-Neumann operator on a corner domain},
author = {Mei Ming and Chao Wang},
journal= {arXiv preprint arXiv:1512.03271},
year = {2016}
}
Comments
54 pages, 1 figures