Lorentz estimates for obstacle parabolic problems

被引：55

作者：

Baroni, Paolo ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 96卷

基金：

欧洲研究理事会;

关键词：

Parabolic variational equations; Obstacle problem; Lorentz spaces; EQUATIONS;

D O I：

10.1016/j.na.2013.11.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the spatial gradient of (variational) solutions to parabolic obstacle problems of p-Laplacian type enjoys the same regularity of the data and of the derivatives of the obstacle in the scale of Lorentz spaces. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：167 / 188

页数：22

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