Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

Details Comparability and regularity estimates for symmetric nonlocal Dirichlet forms Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

2011-09-30

arxiv.org/abs/1109.6812v1

Mathematics

Analysis of PDEs

17 pages, 1 figure

Scientific paper

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.

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