Abstract - IPAM

Abstract

Regularity Theory for Parabolic Nonlocal Operators

Moritz Kassmann

Universität Bielefeld

We prove Hölder-regularity and a Harnack-type inequality for weak solutions to parabolic equations with integro-differential operators of fractional order. Assumptions on the kernel are discussed in detail and several examples are provided. This work is joint with M. Felsinger.
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