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
收藏
页码：724 / 758
页数：35
相关论文
共 48 条
12345