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math.FA2012
On the inverse of the sum of two sectorial operators
Nikolaos Roidos
We study an abstract linear operator equation on a Banach space by using the inverse of the sum of two sectorial operators. We prove that the boundedness of a special type of opera…
math.AP2012★ 1 cited
The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities
Nikolaos Roidos, Elmar Schrohe
We consider the Cahn-Hilliard equation on a manifold with conical singularities and show the existence of bounded imaginary powers for suitable closed extensions of the bilaplacian…