# American Institute of Mathematical Sciences

November  2013, 12(6): 2811-2827. doi: 10.3934/cpaa.2013.12.2811

## Well-posedness and long time behavior of an Allen-Cahn type equation

 1 UMR 6086 CNRS. Laboratoire de Mathématiques et Applications - Université de Poitiers, SP2MI - Boulevard Marie et Pierre Curie - Téléport 2, BP30179 - 86962 Futuroscope Chasseneuil Cedex, France

Received  August 2011 Revised  January 2012 Published  May 2013

The aim of this article is to study the existence and uniqueness of solutions for an equation of Allen-Cahn type and to prove the existence of the finite-dimensional global attractor as well as the existence of exponential attractors.
Citation: Haydi Israel. Well-posedness and long time behavior of an Allen-Cahn type equation. Communications on Pure & Applied Analysis, 2013, 12 (6) : 2811-2827. doi: 10.3934/cpaa.2013.12.2811
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##### References:
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