Abstract
Characteristic examples of Beurling–Deny type Dirichlet forms are considered. The forms are identified with bilinear forms of integro-differential operators that arise as generators of jump-diffusion processes. The aim of this article is to prove Harnack inequalities for these operators and consequently Hölder regularity of weak H 1-solutions. Moser's iteration technique is used.
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Kassmann, M. On Regularity for Beurling–Deny Type Dirichlet Forms. Potential Analysis 19, 69–87 (2003). https://doi.org/10.1023/A:1022486631020
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DOI: https://doi.org/10.1023/A:1022486631020