JournalsdmVol. 25pp. 1–54

Heat Kernel of Anisotropic Nonlocal Operators

  • Krzysztof Bogdan

    Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370 Wroclaw, Poland

  • Paweł Sztonyk

    Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, Wyb. Wyspianskiego 27, 50-370 Wroclaw, Poland

  • Victoria Knopova

    TU Dresden, Zellescher Weg 12-14, Dresden, Germany
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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