Boundary decay estimates for solutions of fourth-order elliptic equations
Spectral Theory
2007-05-23 v6 Analysis of PDEs
Abstract
We obtain integral boundary decay estimates for solutions of fourth-order elliptic equations on a bounded domain with regular boundary. We apply these estimates to obtain stability bounds for the corresponding eigenvalues under small perturbations of the boundary.
Cite
@article{arxiv.math/0404529,
title = {Boundary decay estimates for solutions of fourth-order elliptic equations},
author = {G. Barbatis},
journal= {arXiv preprint arXiv:math/0404529},
year = {2007}
}
Comments
19 pages. Minor corrections. To appear in Ark. Mat