Heat Kernel of Anisotropic Nonlocal Operators
Krzysztof Bogdan
Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, PolandPaweł Sztonyk
Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wyb. Wyspiańskiego 27, 50-370 Wrocław, PolandVictoria Knopova
TU Dresden, Zellescher Weg 12–14, Dresden, Germany

Abstract
We construct and estimate the fundamental solution of highly anisotropic space-inhomogeneous integro-differential operators. We use the Levy method. We give applications to the Cauchy problem for such operators.
Cite this article
Krzysztof Bogdan, Paweł Sztonyk, Victoria Knopova, Heat Kernel of Anisotropic Nonlocal Operators. Doc. Math. 25 (2020), pp. 1–54
DOI 10.4171/DM/736