Nonsymmetric Lévy‐type operators

Jakub Minecki and Karol Szczypkowski

Mathematische Nachrichten, 2024, vol. 297, issue 6, 2234-2286

Abstract: We present a general approach to the parametrix construction. We apply it to prove the uniqueness and existence of a weak fundamental solution for the equation ∂tu=Lu$\partial _t u ={\mathcal {L}}u$ with nonsymmetric nonlocal operators Lf(x):=b(x)·∇f(x)+∫Rd(f(x+z)−f(x)−1|z|

Date: 2024
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https://doi.org/10.1002/mana.202300150

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