Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space
Spectral Theory
2013-01-28 v1 Analysis of PDEs
Abstract
The difference of the resolvents of two Laplacians on a half-space subject to Robin boundary conditions is studied. In general this difference is not compact, but it will be shown that it is compact and even belongs to some Schatten-von-Neumann class, if the coefficients in the boundary condition are sufficiently close to each other in a proper sense. In certain cases the resolvent difference is shown to belong even to the same Schatten-von Neumann class as it is known for the resolvent difference of two Robin Laplacians on a domain with a compact boundary.
Keywords
Cite
@article{arxiv.1108.5538,
title = {Schatten-von Neumann estimates for resolvent differences of Robin Laplacians on a half-space},
author = {Vladimir Lotoreichik and Jonathan Rohleder},
journal= {arXiv preprint arXiv:1108.5538},
year = {2013}
}
Comments
to appear in Operator Theory: Advances and Applications; 15 pages