Smoothness of generalized solutions for nonlocal elliptic problems on the plane
Analysis of PDEs
2014-04-22 v1
Abstract
We study smoothness of generalized solutions of nonlocal elliptic problems in plane bounded domains with piecewise smooth boundary. The case where the support of nonlocal terms can intersect the boundary is considered. We announce conditions that are necessary and sufficient for any generalized solution to possess an appropriate smoothness (in terms of Sobolev spaces). The proofs are given in the forthcoming paper.
Cite
@article{arxiv.1404.5152,
title = {Smoothness of generalized solutions for nonlocal elliptic problems on the plane},
author = {Pavel Gurevich},
journal= {arXiv preprint arXiv:1404.5152},
year = {2014}
}
Comments
6 pages