On Lp-viscosity solutions of parabolic bilateral obstacle problems with unbounded ingredients

被引：0

作者：

Tateyama, Shota ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 296卷

关键词：

Fully nonlinear parabolic equations; Viscosity solutions; Obstacle problems; WEAK HARNACK INEQUALITY; REGULARITY THEORY; EQUATIONS;

D O I：

10.1016/j.jde.2021.06.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The global equi-continuity estimate on L-p-viscosity solutions of parabolic bilateral obstacle problems with unbounded ingredients is established when obstacles are merely continuous. The existence of L-p-viscosity solutions is established via an approximation of given data. The local Holder continuity estimate on the space derivative of L-p-viscosity solutions is shown when the obstacles belong to C-1,C-beta, and p > n + 2. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：724 / 758

页数：35

共 48 条

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[23] On Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^p$$\end{document}-viscosity solutions of bilateral obstacle problems with unbounded ingredients
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