On the Cauchy Problem for Integro-Differential Equations in the Scale of Spaces of Generalized Smoothness

被引：0

作者：

R. Mikulevičius

C. Phonsom

机构：

[1] University of Southern California,

来源：

Potential Analysis | 2019年 / 50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 model Cauchy problem is considered in the scale of Lp -spaces of functions whose regularity is defined by a scalable Levy measure. Existence and uniqueness of a solution is proved by deriving apriori estimates. Some rough probability density function estimates of the associated Levy process are used as well.

引用

页码：467 / 519

页数：52

共 50 条

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