arXiv subjects

Moritz Kassmann

Publications and source records attributed to Moritz Kassmann.

38 records · Page 3Linked to original sources

arXiv2011

Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

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.

math.AP↗

arXiv2008

Symmetric jump processes: localization, heat kernels, and convergence

We consider symmetric processes of pure jump type. We prove local estimates on the probability of exiting balls, the Hölder continuity of harmonic functions and of heat kernels, and convergence of a sequence of such processes.

math.PR↗