The Cauchy-Dirichlet problem for a general class of parabolic equations

被引：34
作者：
Baroni, Paolo [1 ]
Lindfors, Casimir [2 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80125 Naples, Italy
[2] Aalto Univ, Dept Math & Syst Anal, POB 11100, Aalto 00076, Finland
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2017年 / 34卷 / 03期
基金：
芬兰科学院;
关键词：
Degenerate/singular parabolic equations; Cauchy-Dirichlet problem; Lipschitz regularity; General growth conditions; GRADIENT REGULARITY; GROWTH-CONDITIONS; DIFFERENTIAL-EQUATIONS; SYSTEMS; BOUNDARY; BOUNDEDNESS; MINIMIZERS;
D O I：
10.1016/j.anihpc.2016.03.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy-Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary p-Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself. (C) 2016 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：593 / 624
页数：32
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