×

On the solvability conditions for a linearized Cahn-Hilliard equation. (English) Zbl 1254.35234

Summary: We derive solvability conditions in \(H^4(\mathbb{R}^3)\) for a fourth-order partial differential equation which is the linearized Cahn-Hilliard problem using the results obtained for a Schrödinger type operator without Fredholm property in our preceding work [Proc. Edinb. Math. Soc., II. Ser. 54, No. 1, 249–271 (2011; Zbl 1217.35203)].

MSC:

35R10 Partial functional-differential equations
35P10 Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
31A30 Biharmonic, polyharmonic functions and equations, Poisson’s equation in two dimensions
35J10 Schrödinger operator, Schrödinger equation

Citations:

Zbl 1217.35203
PDFBibTeX XMLCite