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

Kevin McLeod; Albert Milani

doi:10.1007/BF01194218

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

Kevin McLeod, Albert Milani

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 → +∞.

Original language	English
Pages (from-to)	79-114
Number of pages	36
Journal	Nonlinear Differential Equations and Applications
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/BF01194218
Publication status	Published - 1996

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1007/BF01194218

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title = "On some global well-posedness and asymptotic results for quasilinear parabolic equations",

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 → +∞.",

author = "Kevin McLeod and Albert Milani",

year = "1996",

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AU - Milani, Albert

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AB - 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 → +∞.

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JO - Nonlinear Differential Equations and Applications

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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