Lp-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions

被引：1

作者：

Byun, Sun-Sig ^{[1
]}

Han, Jeongmin ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, 1 Gwanak Ro, Seoul, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 01期

关键词：

Parabolic equations; Fully nonlinear equations; Oblique derivative problems; W-2; W-p-regularity; DERIVATIVE PROBLEM; ELLIPTIC-EQUATIONS; REGULARITY THEORY; VISCOSITY SOLUTIONS; LIPSCHITZ-DOMAINS; OPERATORS;

D O I：

10.1016/j.jmaa.2021.125461

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study fully nonlinear parabolic equations in nondivergence form with oblique boundary conditions. An optimal and global Calderon-Zygmund estimate is obtained by proving that the Hessian of the viscosity solution to the oblique boundary problem is as integrable as the nonhomogeneous term in Lp spaces under minimal regularity requirement on the nonlinear operator, the boundary data and the boundary of the domain. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：34

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