Boundary value problems on product domains
Analysis of PDEs
2009-03-24 v3
Abstract
We consider the inhomogeneous Dirichlet problem on product domains. The main result is the asymptotic expansion of the solution in terms of increasing smoothness up to the boundary. In particular, we show the exact nature of the singularities of the solution at singularities of the boundary by constructing singular functions which make up an asymptotic expansion of the solution.
Cite
@article{arxiv.math/0502309,
title = {Boundary value problems on product domains},
author = {Dariush Ehsani},
journal= {arXiv preprint arXiv:math/0502309},
year = {2009}
}
Comments
12 pages