A doubly nonlinear parabolic equation with a singular potential

Laurence Cherfils; Stefania Gatti; Alain Miranville

doi:10.3934/dcdss.2011.4.51

Article Contents

2011, Volume 4, Issue 1: 51-66. Doi: 10.3934/dcdss.2011.4.51

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A doubly nonlinear parabolic equation with a singular potential

1.
Université de La Rochelle, Laboratoire MIA, Avenue Michel Crépeau, F-17042 La Rochelle Cedex
2.
Dipartimento di Matematica, Università di Modena e Reggio Emilia, Via Campi 213/B, I-41100 Modena
3.
Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 6086 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex

Received: July 2009

Revised: September 2009

Published: February 2011

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Abstract

Our aim in this paper is to study the long time behavior, in terms of finite dimensional attractors, of doubly nonlinear Allen-Cahn type equations with singular potentials.

Keywords:

Mathematics Subject Classification: 35B41, 35B45, 35K65.

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References

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