On the Cauchy Problem for Nondegenerate Parabolic Integro-Differential Equations in the Scale of Generalized Hölder Spaces

被引：0

作者：

R. Mikulevičius

Fanhui Xu

机构：

[1] University of Southern California,Department of Mathematics

来源：

Potential Analysis | 2020年 / 53卷

关键词：

Non-local parabolic integro-differential equations; Lévy processes; 35R09; 60J75; 35B65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Parabolic integro-differential nondegenerate Cauchy problem is considered in the scale of Hölder spaces of functions whose regularity is defined by a radially O-regularly varying Lévy measure. Existence and uniqueness and the estimates of the solution are derived.

引用

页码：839 / 870

页数：31

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