Resolvents of elliptic cone operators

Abstract

We prove the existence of sectors of minimal growth for general closed extensions of elliptic cone operators under natural ellipticity conditions. This is achieved by the construction of a suitable parametrix and reduction to the boundary. Special attention is devoted to the clarification of the analytic structure of the resolvent.

46 pages, submitted for publication

References in corpus (1)

• Unusual poles of the $\zeta$-functions for some regular singular differential operators

Cited by in corpus (1)

• Bounded ${\mathbf{H}}_{\infty }$-Calculus for Differential Operators on Conic Manifolds with Boundary