On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

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2009, 8(3): 881-912. doi: 10.3934/cpaa.2009.8.881

On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

Gianni Gilardi ^1, , A. Miranville ^2, and Giulio Schimperna ^3,

1.	Dipartimento di Matematica "F. Casorati", Università di Pavia, Via Ferrata 1, 27100 Pavia
2.	Laboratoire d'Applications des Mathématiques - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, Chasseneuil Futuroscope Cedex
3.	Dipartimento di Matematica "F.Casorati", Università di Pavia, Via Ferrata, 1, I-27100 Pavia

Received July 2007 Revised May 2008 Published February 2009

Abstract
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The Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions is considered and well-posedness results are proved.

Keywords: phase separa-tion, dynamic boundary conditions, Cahn-Hilliard equation, well-posedness., irregular potentials.

Mathematics Subject Classification: Primary: 35K55; Secondary: 35K50, 82C2.

Citation: Gianni Gilardi, A. Miranville, Giulio Schimperna. On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions. Communications on Pure & Applied Analysis, 2009, 8 (3) : 881-912. doi: 10.3934/cpaa.2009.8.881

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