UNIQUENESS FOR Lp-VISCOSITY SOLUTIONS FOR UNIFORMLY PARABOLIC ISAACS EQUATIONS WITH MEASURABLE LOWER ORDER TERMS

被引：3

作者：

Krylov, N. V. ^{[1
]}

机构：

[1] Univ Minnesota, 127 Vincent Hall, Minneapolis, MN 55455 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 06期

关键词：

Fully nonlinear equations; viscosity solutions; Isaacs equations; REGULARITY; EXISTENCE;

D O I：

10.3934/cpaa.2018119

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we present several results concerning uniqueness of C-viscosity and L-p-viscosity solutions for fully nonlinear parabolic equations. In case of the Isaacs equations we allow lower order terms to have just measurable bounded coefficients. Higher-order coefficients are assumed to be Holder continuous in x with exponent slightly less than 1/2. This case is treated by using stability of maximal and minimal L-p-viscosity solutions.

引用

页码：2495 / 2516

页数：22

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