Solvability of non-linear parabolic boundary value problem with equivalued surface

被引：2

作者：

Zhang, X ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 1999年 / 22卷 / 03期

关键词：

existence; weak solution; non-linear parabolic equation; equivalued surface;

D O I：

10.1002/(SICI)1099-1476(199902)22:3<259::AID-MMA38>3.0.CO;2-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by means of the method of implicit discretization in time, we obtain the existence of weak solution for a class of non-linear parabolic boundary value problem with equivalued surface. Copyright (C) 1999 John Wiley & Sons, Ltd.

引用

页码：259 / 265

页数：7

共 10 条

[1] CHEN Y, 1991, ELLIPTIC PARTIAL DIF
[2] DAMLAMIAN A, 1982, J MATH PURE APPL, V61, P113
[3] Gilbarg D, 1977, ELLIPTIC PARTIAL DIF
[4] ON GALERKIN APPROXIMATIONS OF A QUASI-LINEAR NONPOTENTIAL ELLIPTIC PROBLEM OF A NONMONOTONE TYPE
HLAVACEK, I
KRIZEK, M
MALY, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (01) : 168 - 189
[5] LI T, 1976, J FUDAN U NATURAL SC, P61
[6] LI TT, 1987, COMM APPL MATH COMPU, V1, P19
[7] LI TT, 1978, J FUNDAN U NAT SCI, P6
[8] SHEN W, 1978, J FUDAN U NATURAL SC, P15
[9] SHEN W, 1985, J FUDAN U NATURAL SC, V24, P47
[10] Existence, uniqueness and limit behaviour of solutions to a nonlinear boundary-value problem with equivalued surface
Zhang, X
Li, FQ
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (04) : 525 - 536

← 1 →