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arXiv:1204.1251 [math.AP]AbstractReferencesReviewsResources

Nonlinear elliptic problems with dynamical boundary conditions of reactive and reactive-diffusive type

Ciprian G. Gal, Martin Meyries

Published 2012-04-05, updated 2013-09-02Version 2

We investigate classical solutions of nonlinear elliptic equations with two classes of dynamical boundary conditions, of reactive and reactive-diffusive type. In the latter case it is shown that well-posedness is to a large extent independent of the coupling with the elliptic equation. For both types of boundary conditions we consider blow-up, global existence, global attractors and convergence to single equilibria.

Comments: 31 pages
Categories: math.AP, math.DS
Subjects: 35J60, 35K58, 35K59, 37L30
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