Global solutions for quasilinear parabolic problems

被引：0
|
作者：
Adrian Constantin
Joachim Escher
机构：
[1] Department of Mathematics,
[2] Lund University,undefined
[3] P.O. Box 118,undefined
[4] 221 00 Lund,undefined
[5] Sweden,undefined
[6] e-mail: adrian.constantin@math.lu.se,undefined
[7] Institute of Applied Mathematics,undefined
[8] University of Hannover,undefined
[9] Welfengarten 1,undefined
[10] 30167 Hannover,undefined
[11] Germany,undefined
[12] e-mail: escher@ifam.uni-hannover.de,undefined
来源：
Journal of Evolution Equations | 2002年 / 2卷
关键词：
Key words: Global solutions, quasilinear parabolic equations, weakly coupled reaction-diffusion systems, elliptic equations, dynamic boundary conditions.;
D O I：
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中图分类号：
学科分类号：
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.
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页码：97 / 111
页数：14
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