Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation

Nikolaos Roidos, Elmar Schrohe

Extending earlier results on the existence of bounded imaginary powers for cone differential operators on weighted $L^p$-spaces ${\mathcal{H}}_p^{0,\gamma }(\mathbb{B})$ over a manifold wi…