Pointwise Inequalities for Elliptic Boundary Value Problems
Analysis of PDEs
2015-05-12 v1
Abstract
We introduce a new approach to obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator being considered satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar second-order elliptic equation, the 3D Lam\'{e} system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied.
Cite
@article{arxiv.1505.02339,
title = {Pointwise Inequalities for Elliptic Boundary Value Problems},
author = {Guo Luo and Vladimir G. Maz'ya},
journal= {arXiv preprint arXiv:1505.02339},
year = {2015}
}
Comments
8 pages