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.
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页码：2495 / 2516
页数：22
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