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.
| Original language | English |
|---|---|
| Pages (from-to) | 97-111 |
| Journal | Journal of Evolution Equations |
| Volume | 2 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2002 |
Subject classification (UKÄ)
- Mathematics
Keywords
- elliptic equations
- conditions
- dynamic boundary
- reaction-diffusion systems
- weakly coupled
- global solutions
- quasilinear parabolic equations