A "maximum principle for semicontinuous functions" applicable to integro-partial differential equations

被引：80

作者：

Jakobsen, Espen R. ^{[1
]}

Karlsen, Kenneth H.

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway

[2] Univ Bergen, Dept Math, N-5008 Bergen, Norway

[3] Univ Oslo, Dept Math, Ctr Math Applicat, N-0316 Oslo, Norway

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2006年 / 13卷 / 02期

关键词：

integro-partial differential equation; viscosity solution; comparison principle; uniqueness; Bellman equation; Isaacs equation;

D O I：

10.1007/s00030-005-0031-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate and prove a non-local "maximum principle for semicontinuous functions" in the setting of fully nonlinear and degenerate elliptic integro-partial differential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain compare/uniqueness results for integro-partial differential equations, but proofs have so far been lacking.

引用

页码：137 / 165

页数：29

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