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SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS

ANÍBAL RODRÍGUEZ-BERNAL

Departamento de Matemática Aplicada, Universidad Complutense de Madrid, Madrid 28040, Spain

Partially supported by BFM2000-0798.

https://doi.org/10.1142/S0218127402005893Cited by:0 (Source: Crossref)

Abstract

In this paper we survey some recent results on the behavior of solutions of parabolic equations subjected to nonlinear boundary conditions.

The results range from local existence and regularity of solutions, to global existence, dissipativeness and existence of attractors, and to blow-up in finite time.

Some applications are given to some singular perturbation problems and to pattern formation from boundary flux.

Keywords:

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