Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
Analysis of PDEs
2014-06-25 v1
Abstract
Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions is studied in plane domains. Necessary and sufficient conditions upon the right-hand side of the problem and nonlocal operators under which the generalized solutions possess an appropriate smoothness are established.
Keywords
Cite
@article{arxiv.1406.6195,
title = {Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions},
author = {Pavel Gurevich},
journal= {arXiv preprint arXiv:1406.6195},
year = {2014}
}
Comments
25 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1404.5162