The parabolic Harnack inequality for nonlocal equations

M Kassmann, M Weidner - arXiv preprint arXiv:2303.05975, 2023 - arxiv.org
We complete the local regularity program for weak solutions to linear parabolic nonlocal
equations with bounded measurable coefficients. Within the variational framework we prove …

Nonlocal operators related to nonsymmetric forms, II: Harnack inequalities

M Kassmann, M Weidner - Analysis & PDE, 2024 - msp.org
Local boundedness and Harnack inequalities are studied for solutions to parabolic and
elliptic integrodifferential equations whose governing nonlocal operators are associated with …

Nonlocal operators related to nonsymmetric forms I: H\" older estimates

M Kassmann, M Weidner - arXiv preprint arXiv:2203.07418, 2022 - arxiv.org
The aim of this article is to develop the regularity theory for parabolic equations driven by
nonlocal operators associated with nonsymmetric forms. H\" older regularity and weak …

Regularity estimates for fractional orthotropic p-Laplacians of mixed order

J Chaker, M Kim - Advances in Nonlinear Analysis, 2022 - degruyter.com
Regularity estimates for fractional orthotropic p-Laplacians of mixed order Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations

SS Byun, K Kim - Annali di Matematica Pura ed Applicata (1923-), 2024 - Springer
A Hölder estimate with an optimal tail for nonlocal parabolic p-Laplace equations | Annali di
Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu Find a …

A Regularity Theory for Parabolic Equations with Anisotropic Nonlocal Operators in Spaces

JH Choi, J Kang, D Park - SIAM Journal on Mathematical Analysis, 2024 - SIAM
In this paper, we present an-regularity theory for parabolic equations of the form Here,
represents anisotropic nonlocal operators encompassing the singular anisotropic fractional …

Heat kernel estimates for symmetric jump processes with anisotropic jumping kernels

J Kang - Proceedings of the American Mathematical Society, 2023 - ams.org
We show two-sided bounds of heat kernel for symmetric pure jump Markov process in
$\mathbb {R}^ d $ with jumping kernel $ J (x, y) $ that is comparable to $\frac {\bbone …

[PDF][PDF] Energy methods for nonsymmetric nonlocal operators

M Weidner - 2022 - scholar.archive.org
The goal of this work is to develop the regularity theory for nonlocal parabolic equations. We
focus on problems driven by nonlocal operators associated with nonsymmetric bilinear …

Heat kernel estimates for anisotropic symmetric jump processes

J Kang - arXiv preprint arXiv:2110.04732, 2021 - arxiv.org
We show two-sided bounds of heat kernel for anisotropic non-singular symmetric pure jump
Markov process whose jump kernel $ J (x, y) $ is comparable to $\frac {{\bf 1} _ {\mathcal …