Volpert, Vitaly; Vougalter, Vitali On the solvability conditions for a linearized Cahn-Hilliard equation. (English) Zbl 1254.35234 Rend. Ist. Mat. Univ. Trieste 43, 1-9 (2011). 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)]. Cited in 2 ReviewsCited in 19 Documents 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 Keywords:solvability conditions; non-Fredholm operators; Sobolev spaces Citations:Zbl 1217.35203 PDFBibTeX XMLCite \textit{V. Volpert} and \textit{V. Vougalter}, Rend. Ist. Mat. Univ. Trieste 43, 1--9 (2011; Zbl 1254.35234)