Nonlinear parabolic problems with Neumann-type boundary conditions and L1-data

被引：0

作者：

El Hachimi, Abderrahmane ^{[1
]}

Jamea, Ahmed ^{[1
]}

机构：

[1] UFR Math Appl & Ind, Fac Sci, El Jadida, Morocco

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2007年 / 27期

关键词：

entropy solution; nonlinear parabolic problem; Neumann-type boundary conditions; P-Laplacian; semi-discretization;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study existence, uniqueness and stability questions for the nonlinear parabolic equation: partial derivative u/partial derivative t - Delta(p)u + alpha(u) = f in]0, T[x Omega, with Neumann-type boundary conditions and initial data in L-1. Our approach is based essentially on the time discretization technique by Euler forward scheme.

引用

页码：1 / 22

页数：22

共 27 条

[1]

ANDEREU F, 1997, ADV MATH SCI APPL, V7, P183

[2] Existence and uniqueness for a degenerate parabolic equation with L1-data [J].

Andreu, F ;

Mazón, JM ;

De León, SS ;

Toledo, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (01) :285-306

[3]

ANDREU F, IN PRESS ANN I POINC

[4]

Benilan P., 1995, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V22, P241

[5]

BENZEKRI F, 2002, EJDE, P1

[6]

Brezis H., 1999, Analyse fonctionnelle: Theorie et applications

[7] Approximated solutions of equations with L-1 data. Application to the H-convergence of quasi-linear parabolic equations. [J].

DallAglio, A .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1996, 170 :207-240

[8] ON THE CAUCHY-PROBLEM FOR BOLTZMANN EQUATIONS - GLOBAL EXISTENCE AND WEAK STABILITY [J].

DIPERNA, RJ ;

LIONS, PL .

ANNALS OF MATHEMATICS, 1989, 130 (02) :321-366

[9] SEMI-DISCRETIZED NONLINEAR EVOLUTION-EQUATIONS AS DISCRETE DYNAMIC-SYSTEMS AND ERROR ANALYSIS [J].

EDEN, A ;

MICHAUX, B ;

RAKOTOSON, JM .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1990, 39 (03) :737-783

[10]

ELHACHIMI A, 2002, ELECT J DIFFERENTIAL, P1

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