Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

Bartłomiej Dyda; Moritz Kassmann

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arXiv · 1109.6812

Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

Bartłomiej Dyda·Moritz Kassmann

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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 Hölder spaces for solutions to integrodifferential equations. These solutions are defined with the help of symmetric nonlocal Dirichlet forms.

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Bartłomiej Dyda, Moritz Kassmann. 2011-09-30. Comparability and regularity estimates for symmetric nonlocal Dirichlet forms. https://arxiv.org/abs/1109.6812

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