Nonsymmetric Lévy-type operators

Pub Date : 2024-04-11 DOI:10.1002/mana.202300150
Jakub Minecki, Karol Szczypkowski
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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  t u = L u $\partial _t u ={\mathcal {L}}u$ with nonsymmetric nonlocal operators

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非对称莱维型算子
我们介绍了参数矩阵构造的一般方法。我们将其应用于证明非对称非局部算子方程的弱基本解的唯一性和存在性,前提是关于 、 、 和 的某些假设。这一结果甚至允许......的系数更为宽泛。
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