On some global well-posedness and asymptotic results for quasilinear parabolic equations

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Author list: McLeod K, Milani A

Publisher: Springer

Place: CHAM

Publication year: 1996

Journal: Nonlinear Differential Equations and Applications (1021-9722)

Journal acronym: NODEA-NONLINEAR DIFF

Volume number: 3

Issue number: 1

Start page: 79

End page: 114

Number of pages: 36

ISSN: 1021-9722

eISSN: 1420-9004

Languages: English-Great Britain (EN-GB)

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Abstract

We prove that the quasilinear parabolic initial-boundary value problem (1.1) below is globally well-posed in a class of high order Sobolev solutions, and that these solutions possess compact, regular attractors as t -> infinity.

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