Comparability and regularity estimates for symmetric nonlocal Dirichlet forms
Analysis of PDEs
2011-10-03 v1 Functional Analysis
Abstract
The aim of this work is to study comparability of nonlocal Dirichlet forms. We provide sufficient conditions on the kernel for local and global comparability. As an application we prove a-priori estimates in H\"{o}lder spaces for solutions to integrodifferential equations. These solutions are defined with the help of symmetric nonlocal Dirichlet forms.
Cite
@article{arxiv.1109.6812,
title = {Comparability and regularity estimates for symmetric nonlocal Dirichlet forms},
author = {Bartłomiej Dyda and Moritz Kassmann},
journal= {arXiv preprint arXiv:1109.6812},
year = {2011}
}
Comments
17 pages, 1 figure