Resolvents of elliptic cone operators
Analysis of PDEs
2023-10-24 v1 Functional Analysis
Spectral Theory
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.
Keywords
Cite
@article{arxiv.math/0410176,
title = {Resolvents of elliptic cone operators},
author = {Juan B. Gil and Thomas Krainer and Gerardo A. Mendoza},
journal= {arXiv preprint arXiv:math/0410176},
year = {2023}
}
Comments
46 pages, submitted for publication