Structure of Resolvents of Elliptic Cone Differential Operators: A Brief Survey

Juan B. Gil

Structure of Resolvents of Elliptic Cone Differential Operators: A Brief Survey

Authors

Juan B. Gil Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, USA.

Keywords:

Resolvents, trace asymptotics, manifolds with conical singularities

Abstract

The resolvent of an elliptic cone differential operator is surveyed under the aspect of its pseudodifferential structure and its asymptotic behavior as the spectral parameter tends to infinity. The exposition is descriptive and focuses on the case when the domain of the given operator is stationary.