Existence of weak solutions for a class of nonlinear diffusion problems

被引：0

作者：

Wang, Chunpeng ^{[1
]}

Wang, Zejia ^{[1
]}

Liu, Qiang ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 47卷 / 9-10期

基金：

中国国家自然科学基金;

关键词：

existence; degenerate; singular; strong degeneracy;

D O I：

10.1016/j.mcm.2007.05.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper concerns the existence theorem of weak solutions for the initial-boundary value problem of a nonlinear diffusion equation with convection. The equation may be regarded as a generalized non-Newtonian polytropic filtration equation. By doing the necessary BV estimate and other estimates for approximating solutions, we establish the existence theorem. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：874 / 886

页数：13

共 50 条

[1] EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR A CLASS OF NONLINEAR DIVERGENCE TYPE DIFFUSION EQUATIONS
Chen, P.
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (07): : 2393 - 2410
[2] On the Existence of Solutions for Weak Nonlinear Bilevel Optimization Problems
Keraoui, Houda
Saissi, Fatima-Ezzahra
Aboussoror, Abdelmalek
[J]. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, 2023,
[3] Global existence and blow-up of solutions for a class of nonlocal problems with nonlinear diffusion
Kavallaris, NI
[J]. ADVANCES IN SCATTERING AND BIOMEDICAL ENGINEERING, PROCEEDINGS, 2004, : 305 - 312
[4] On the existence of weak solutions for a class of singular reaction diffusion systems
Mesbahi, Salim
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 51 (03): : 757 - 774
[5] REGIONS OF EXISTENCE FOR A CLASS OF NONLINEAR DIFFUSION TYPE PROBLEMS
Verma, Amit K.
Singh, Mandeep
Agarwal, Ravi P.
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2020, 14 (01) : 106 - 121
[6] EXISTENCE AND UNIQUENESS OF WEAK SOLUTIONS FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS
Chen, Peiying
[J]. ELECTRONIC RESEARCH ANNOUNCEMENTS IN MATHEMATICAL SCIENCES, 2017, 24 : 38 - 52
[7] Existence of positive solutions for some problems with nonlinear diffusion
Canada, A
Drabek, P
Gamez, JL
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 349 (10) : 4231 - 4249
[8] EXISTENCE OF SOLUTIONS TO SOME NONLINEAR DIFFUSION-PROBLEMS
BOBISUD, LE
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) : 413 - 424
[9] ON EXISTENCE OF SOLUTIONS FOR A CLASS OF FULLY NONLINEAR NONCOERCIVE PROBLEMS
KORMAN, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 137 (02) : 477 - 484
[10] EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR CONTROL-PROBLEMS
HOU, SH
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1990, 66 (01) : 23 - 35

← 1 2 3 4 5 →