On Initial Boundary Value Problems with Equivalued Surface for Nonlinear Parabolic Equations

被引：1

作者：

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2009年

关键词：

RENORMALIZED SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1155/2009/739097

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will use the concept of renormalized solution to initial boundary value problems with equivalued surface for nonlinear parabolic equations, discuss the existence and uniqueness of renormalized solution, and give the relation between renormalized solutions and weak solutions. Copyright (C) 2009 Fengquan Li.

引用

页数：23

共 15 条

[1] Renormalised solutions of nonlinear parabolic problems with L1 data:: existence and uniqueness [J].

Blanchard, D ;

Murat, F .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1997, 127 :1137-1152

[2] Uniqueness of renormalized solutions of degenerate elliptic-parabolic problems [J].

Carrillo, J ;

Wittbold, P .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1999, 156 (01) :93-121

[3]

Chavent G., 1986, Mathematical Models and Finite Elements for Reservoir Simulation Single Phase, Multiphase and Multicomponent Flows Through Porous Media

[4]

CHEN ZX, 1980, SCI SINICA, V7, P880

[5]

DAMLAMIAN A, 1982, J MATH PURE APPL, V61, P113

[6] 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

[7] LOCAL EXISTENCE OF GENERAL NONLINEAR PARABOLIC-SYSTEMS [J].

FILO, J ;

KACUR, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 24 (11) :1597-1618

[8] ON THE EXISTENCE OF WEAK SOLUTIONS FOR QUASILINEAR PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEMS [J].

LANDES, R .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1981, 89 :217-237

[9] Existence and uniqueness of bounded weak solution for non-linear parabolic boundary value problem with equivalued surface [J].

Li, FQ .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (10) :1115-1124

[10]

Li T., 1998, BOUND VALUE PROBL, V382

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