We present a result on the global existence of classical solutions for quasilinear parabolic systems with homogeneous Dirichlet boundary conditions in bounded domains with a smooth boundary. Our method relies on the use of Lyapunov functions.
|Journal||Nodea. Nonlinear Differential Equations and Applications|
|Publication status||Published - 2005|
Subject classification (UKÄ)
- global solutions
- quasilinear parabolic systems
- Dirichlet condition