Article Contents
Article Contents

# Center manifolds and attractivity for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions

• We construct and investigate local invariant manifolds for a large class of quasilinear parabolic problems with fully nonlinear dynamical boundary conditions and study their attractivity properties. In a companion paper we have developed the corresponding solution theory. Examples for the class of systems considered are reaction--diffusion systems or phase field models with dynamical boundary conditions and to the two--phase Stefan problem with surface tension.
Mathematics Subject Classification: Primary: 35B35, 35B40, 35K59, 35K61; Secondary: 35B65.

 Citation:

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