Local estimates for fully nonlinear parabolic equations in weighted spaces

被引：0

作者：

Lee, Mikyoung ^{[1
]}

Ok, Jihoon ^{[2
]}

机构：

[1] Pusan Natl Univ, Dept Math, Busan 46241, South Korea

[2] Sogang Univ, Dept Math, Seoul, South Korea

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 14期

关键词：

fully nonlinear equation; Muckenhoupt weight; parabolic equation; regularity theory; viscosity solution; weighted Orlicz space; REGULARITY THEORY; VISCOSITY SOLUTIONS; ORLICZ SPACES; INTERIOR;

D O I：

10.1002/mma.7259

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local weighted estimates for viscosity solutions to fully nonlinear parabolic equations of the form u(t) - F(D(2)u, x, t) = f(x, t) in U in the setting of Orlicz spaces.

引用

页码：8474 / 8486

页数：13

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