Existence of solutions for Cahn-Hilliard type equations

Alain Miranville

doi:10.3934/proc.2003.2003.630

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2003, Volume 2003: 630-637. Doi: 10.3934/proc.2003.2003.630 open access

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Existence of solutions for Cahn-Hilliard type equations

Alain Miranville^1,

1.
Universite de Poitiers, Mathematiques SP2MI, 86962 Chasseneuil Futuroscope Cedex

Received: September 2002

Revised: February 2003

Published: March 2003

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Abstract

Our aim in this article is to study the existence of solutions for a system of equations which arises in the context of phase transitions in binary alloys.

Keywords:

Cahn-Hilliard type equations,
existence of solutions.

Mathematics Subject Classification: 35A05, 35B40, 35B45.

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