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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics

Authors :
Alexandre N. Carvalho
Rita de Cássia D. S. Broche
José Valero
Source :
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
Publication Year :
2018

Abstract

The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies. Also, we answer a question proposed in [11], concerning the complete description of the structure of the pullback attractor of the problem when $1<br />Comment: 32 pages, 04 figures

Details

Language :
English
Database :
OpenAIRE
Journal :
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
Accession number :
edsair.doi.dedup.....4a833f9442211a41b8639bf9d6453e09