| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 2, 2012
Solitary waves
|
|
|---|---|---|
| Page(s) | 146 - 154 | |
| DOI | https://doi.org/10.1051/mmnp/20127212 | |
| Published online | 29 February 2012 | |
Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
1
University of Cape Town, Department of Mathematics,
Private Bag, Rondebosch
7701, South
Africa
2
Institute Camille Jordan, UMR 5208 CNRS, University Lyon
1, Villeurbanne,
69622,
France
⋆ Corresponding author. E-mail: Vitali.Vougalter@uct.ac.za
We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].
Mathematics Subject Classification: 35J10 / 35P10 / 31A30
Key words: solvability conditions / non Fredholm operators / Sobolev spaces
© EDP Sciences, 2012
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