Global solutions for quasilinear parabolic problems

被引：47

作者：

Constantin, A

Escher, J

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2002年 / 2卷 / 01期

关键词：

global solutions; quasilinear parabolic equations; weakly coupled reaction-diffusion systems; elliptic equations; dynamic boundary conditions;

D O I：

10.1007/s00028-002-8081-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented. Besides quasilinear parabolic equations, the method is also applicable to some weakly-coupled reaction-diffusion systems and to elliptic equations with nonlinear dynamic boundary conditions.

引用

页码：97 / 111

页数：15

共 50 条

[11] GLOBAL-SOLUTIONS OF ABSTRACT QUASILINEAR PARABOLIC EQUATIONS
LUNARDI, A
JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 58 (02) : 228 - 242
[12] Global and blowup solutions for general quasilinear parabolic systems
Chen, Shaohua
MacDonald, Kristen
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) : 423 - 433
[13] COMPARISON AND STABILITY OF SOLUTIONS TO A CLASS OF QUASILINEAR PARABOLIC PROBLEMS
CHIPOT, M
RODRIGUES, JF
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1988, 110 : 275 - 285
[14] Blow-Up Solutions and Global Existence for Quasilinear Parabolic Problems with Robin Boundary Conditions
Ding, Juntang
ABSTRACT AND APPLIED ANALYSIS, 2014,
[15] Global existence and L∞ estimates of solutions for a quasilinear parabolic system
Caisheng Chen
Journal of Evolution Equations, 2006, 6 : 29 - 43
[16] To the question of global solvability of mixed problems for quasilinear parabolic equations
Zelenyak, TI
Lyul'ko, NA
SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (02) : 277 - 288
[17] To the question of global solvability of mixed problems for quasilinear parabolic equations
T. I. Zelenyak
N. A. Lyul’ko
Siberian Mathematical Journal, 1998, 39 : 277 - 288
[18] ON THE GLOBAL UNSOLVABILITY OF CAUCHY-PROBLEMS FOR QUASILINEAR PARABOLIC EQUATIONS
GALAKTIONOV, VA
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (05): : 31 - 41
[19] Global existence and L∞ estimates of solutions for a quasilinear parabolic system
Chen, CS
JOURNAL OF EVOLUTION EQUATIONS, 2006, 6 (01) : 29 - 43
[20] THE CONDITIONS FOR THERE TO BE NO GLOBAL-SOLUTIONS OF A CLASS OF QUASILINEAR PARABOLIC EQUATIONS
GALAKTIONOV, VA
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1982, 22 (02): : 73 - 90

← 1 2 3 4 5 →