Existence, boundedness and uniqueness of weak solution for the thermistor problem with mixed boundary conditions

被引：0

作者：

Ping, G ^{[1
]}

机构：

[1] Southeast Univ, Nanjing 210096, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 1998年 / 18卷 / 03期

关键词：

nonlinear partial differential equations; existence; boundedness; uniqueness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The thermistor problem is a coupled system of nonlinear PDEs with mixed boundary conditions. The goal of this paper is to study the existence, boundedness and uniqueness of the weak solution for this problem.

引用

页码：326 / 332

页数：7

共 50 条

[41] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Luo, Xiannan
Guo, Shancui
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (01) : 1 - 17
[42] On the uniqueness of the solution of a unified formulation for the boundary conditions in the Dam problem
Lyaghfouri A.
Annali dell’Università’ di Ferrara, 1999, 45 (1): : 91 - 122
[43] Existence and Uniqueness of Solutions for Fractional Boundary Value Problem with Fractional Boundary Value Conditions
Xiannan Luo
Shancui Guo
Qualitative Theory of Dynamical Systems, 2014, 13 : 1 - 17
[44] Uniqueness of classical solution and existence of a weak solution of cauchy problem for the Benjamin-one equation
Fan, Yuanze
Zhang, Wangming
Jianghan Shiyou Xueyuan Xuebao/Journal of Jianghan Petroleum Institute, 1998, 20 (02): : 131 - 134
[45] Existence and uniqueness of a weak solution to a stratigraphic model
Eymard, R
Gallouët, T
Gervais, W
Masson, R
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 278 - 287
[46] Existence of an antisymmetric solution of a boundary value problem with antiperiodic boundary conditions
Lyons, Jeffrey W.
Neugebauer, Jeffrey T.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (72)
[47] A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions
Muntean, Adrian
Boehm, Michael
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 350 (01) : 234 - 251
[48] UNIQUENESS OF THE CLASSICAL SOLUTION OF A MIXED PROBLEM FOR EQUATIONS OF GASDYNAMICS WITH BOUNDARY-CONDITIONS ON THE SHOCK-WAVE
BLOKHIN, AM
SIBERIAN MATHEMATICAL JOURNAL, 1982, 23 (05) : 604 - 615
[49] EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS TO ELLIPTIC PROBLEMS WITH SUBLINEAR MIXED BOUNDARY CONDITIONS
Garcia-Melian, Jorge
Rossi, Julio D.
Sabina De Lis, Jose C.
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (04) : 585 - 613
[50] EXISTENCE STABILITY, BLOW UP OF SOLUTION FOR THERMISTOR PROBLEM
ANTONTSEV, SN
CHIPOT, M
DOKLADY AKADEMII NAUK, 1992, 324 (02) : 309 - 313

← 1 2 3 4 5 →