Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

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.

17 pages, 1 figure

Cited by in corpus (4)

• Local regularity for parabolic nonlocal operators
• Regularity results for nonlocal parabolic equations
• Analysis of jump processes with nondegenerate jumping kernels
• Weak Harnack Inequality and Hölder Regularity for Symmetric Stable Lévy Processes