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Resolvents of elliptic cone operators

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

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Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza. 2004-10-06. Resolvents of elliptic cone operators. https://arxiv.org/abs/math/0410176

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