Resolvents of elliptic cone operators

Juan B. Gil; Thomas Krainer; Gerardo A. Mendoza

doi:10.1016/j.jfa.2006.07.010

Resolvents of elliptic cone operators

Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1-55
Number of pages	55
Journal	Journal of Functional Analysis
Volume	241
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2006.07.010
State	Published - Dec 1 2006

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/j.jfa.2006.07.010

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title = "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.",

author = "Gil, {Juan B.} and Thomas Krainer and Mendoza, {Gerardo A.}",

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AU - Gil, Juan B.

AU - Krainer, Thomas

AU - Mendoza, Gerardo A.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - 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.

AB - 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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DO - 10.1016/j.jfa.2006.07.010

M3 - Article

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SN - 0022-1236

VL - 241

SP - 1

EP - 55

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

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Resolvents of elliptic cone operators

Abstract

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