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arXiv · 2205.05531

Nonlocal operators related to nonsymmetric forms II: Harnack inequalities

Moritz Kassmann·Marvin Weidner
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Abstract

Local boundedness and Harnack inequalities are studied for solutions to parabolic and elliptic integro-differential equations whose governing nonlocal operators are associated with nonsymmetric forms. We present two independent proofs, one being based on the De Giorgi iteration and the other one on the Moser iteration technique. This article is a continuation of a recent work by the same authors, where H\"older regularity and a weak Harnack inequality are proved in a similar setup.

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Moritz Kassmann, Marvin Weidner. 2022-05-11. Nonlocal operators related to nonsymmetric forms II: Harnack inequalities. https://doi.org/10.2140/apde.2024.17.3189

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