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May  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

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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