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

Vitaly Volpert (1) , Vitali Vougalter (2)

1 DRACULA - Multi-scale modelling of cell dynamics : application to hematopoiesis
2 Department of Mathematics [University of Toronto]

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

Domaines: Equations aux dérivées partielles [math.AP]

Vitaly Volpert, Vitali Vougalter. Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order.. Mathematical Modelling of Natural Phenomena, 2012, 7 (2), pp.146--154. ⟨10.1051/mmnp/20127212⟩. ⟨hal-00753092⟩