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

Gianni Gilardi; A. Miranville; Giulio Schimperna

doi:10.3934/cpaa.2009.8.881

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2009, Volume 8, Issue 3: 881-912. Doi: 10.3934/cpaa.2009.8.881

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

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: June 30, 2007

Revised: April 30, 2008

Published: April 2009

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Abstract

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

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Mathematics Subject Classification: Primary: 35K55; Secondary: 35K50, 82C26.

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