Resolvents of elliptic cone operators

Details Resolvents of elliptic cone operators Resolvents of elliptic cone operators

2004-10-06

arxiv.org/abs/math/0410176v1

Mathematics

Analysis of PDEs

46 pages, submitted for publication

Scientific paper

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.

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