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

被引：35

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

页码：593 / 624

页数：32

共 36 条

[1] Regularity results for parabolic systems related to a class of non-Newtonian fluids [J].

Acerbi, E ;

Mingione, G ;

Seregin, GA .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2004, 21 (01) :25-60

[2] Gradient estimates for a class of parabolic systems [J].

Acerbi, Emilio ;

Mingione, Giuseppe .

DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) :285-320

[3]

[Anonymous], 102 U JYVASK

[4]

[Anonymous], 1993, DEGENERATE PARABOLIC, DOI DOI 10.1007/978-1-4612-0895-2

[5]

[Anonymous], TRANSL MATH MONOGR

[6] Riesz potential estimates for a general class of quasilinear equations [J].

Baroni, Paolo .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 53 (3-4) :803-846

[7]

Bers L., 1958, SURV APPL MATH, V3

[8]

Burczak J., PREPRINT

[9]

CHEN YZ, 1992, ARCH RATION MECH AN, V118, P257

[10]

Cianchi A, 1997, COMMUN PART DIFF EQ, V22, P1629

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