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Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order

Published online by Cambridge University Press:  29 February 2012

V. Vougalter  and
V. Volpert
V. Vougalter*
Affiliation:
University of Cape Town, Department of Mathematics, Private Bag, Rondebosch 7701, South Africa
V. Volpert
Affiliation:
Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
*
⋆ Corresponding author. E-mail: [email protected]
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Abstract

We obtain solvability conditions in H6(ℝ3) for asixth order partial differential equation which is the linearized Cahn-Hilliard problemusing the results derived for a Schrödinger type operator without Fredholm property in ourpreceding article [18].

Keywords

solvability conditionsnon Fredholm operatorsSobolev spaces
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 2: Solitary waves , 2012 , pp. 146 - 154
Copyright
© EDP Sciences, 2012

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