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 11 条

[1] The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear parabolic equations with unbounded ingredients
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[2] REMARKS ON THE PHRAGMEN-LINDELOF THEOREM FOR Lp-VISCOSITY SOLUTIONS OF FULLY NONLINEAR PDES WITH UNBOUNDED INGREDIENTS
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[3] Hölder gradient estimates on Lp-viscosity solutions of fullynonlinear parabolic equations with VMO coefficients
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[4] LOCAL MAXIMUM PRINCIPLE FOR Lp-VISCOSITY SOLUTIONS OF FULLY NONLINEAR ELLIPTIC PDES WITH UNBOUNDED COEFFICIENTS
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[6] On the ABP maximum principle for Lp-viscosity solutions of fully nonlinear PDE
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[7] VISCOSITY SOLUTIONS FOR OBSTACLE PROBLEMS ON WASSERSTEIN SPACE
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[8] POINTWISE PROPERTIES OF Lp-VISCOSITY SOLUTIONS OF UNIFORMLY ELLIPTIC EQUATIONS WITH QUADRATICALLY GROWING GRADIENT TERMS
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[9] Viscosity Solutions of Hybrid Game Problems with Unbounded Cost Functionals
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[10] Viscosity solutions of obstacle problems for fully nonlinear path-dependent PDEs
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