Regularity results for nonlocal parabolic equations

Abstract

We survey recent regularity results for parabolic equations involving nonlocal operators like the fractional Laplacian. We extend the results of Felsinger-Kassmann (2013) and obtain regularity estimates for nonlocal operators with kernels not being absolutely continuous with respect to the Lebesgue measure.

fixed some typos from the previous version

References in corpus (1)

• Comparability and regularity estimates for symmetric nonlocal Dirichlet forms

Cited by in corpus (7)

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• An $\alpha$-stable limit theorem under sublinear expectation
• Local regularity for nonlocal equations with variable exponents
• Nonlocal complement value problem for a global in time parabolic equation