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

被引：13

作者：

Mikulevicius, R. ^{[1
]}

Phonsom, C. ^{[1
]}

机构：

[1] Univ Southern Calif, Los Angeles, CA 90007 USA

来源：

POTENTIAL ANALYSIS | 2019年 / 50卷 / 03期

关键词：

Non-local parabolic integro-differential equations; Levy processes;

D O I：

10.1007/s11118-018-9690-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Parabolic integro-differential model Cauchy problem is considered in the scale of L-p -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：53

共 50 条

[1] On the Cauchy Problem for Integro-Differential Equations in the Scale of Spaces of Generalized Smoothness
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C. Phonsom
[J]. Potential Analysis, 2019, 50 : 467 - 519
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