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Tuesday, May 31, 2022 - 16:15 in V5-148


Upper heat kernel estimates for nonlocal operators via Aronson's method

A talk in the Nonlocal Equations: Analysis and Numerics series by
Martin Weidner from Bielefeld

Abstract: In his celebrated article, Aronson established Gaussian bounds for the fundamental solution to the Cauchy problem governed by a second order divergence form operator with uniformly elliptic coefficients. In this talk, we present an extension of Aronson's proof of upper heat kernel estimates to a class of nonlocal operators whose jumping kernel satisfies a pointwise upper bound and whose energy form is coercive.

Within the CRC this talk is associated to the project(s): A7



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