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Global solutions for quasilinear parabolic problems |
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| Authors: | Adrian Constantin Joachim Escher |
| Institution: | (1) Department of Mathematics, Lund University, P.O. Box 118, 221 00 Lund, Sweden, e-mail: adrian.constantin@math.lu.se, SE;(2) Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167 Hannover, Germany, e-mail: escher@ifam.uni-hannover.de, GY |
| Abstract: | 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. Received December 21, 2000; accepted August 30, 2001. |
| Keywords: | : Global solutions quasilinear parabolic equations weakly coupled reaction-diffusion systems elliptic equations dynamic boundary conditions |
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