Resolvents of elliptic cone operators

By Juan B. Gil, T. Krainer, G. Mendoza. 2004

67 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/eaaef8d3502a62e695b30f9d614bbafba19fef60

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In Applied Mathematics

1. Yanir A. Rubinstein
2. Rafe Mazzeo
3. N. Šešum
4. N. Roidos
5. Elmar Schrohe
6. Robert J. Berman
7. G. Tian
8. Chi Li

In Mathematical Physics

1. N. Roidos
2. Yanir A. Rubinstein
3. Elmar Schrohe
4. Rafe Mazzeo
5. Gerd Grubb
6. Knut Smoczyk

Citations in the corpus

• Ricci flow on surfaces with conic singularities (2013, result): “As references for these results, see the monograph by Melrose [1993] and the articles of Mazzeo [1991], Gil, Krainer and Mendoza [Gil et al. 2006], and [Jeffres et al. 2014, §3 ] for a more extended expository review.”
• Existence and maximal Lp-regularity of solutions for the porous medium equation on manifolds with conical singularities (2015, background): “[5], [19], [26], [27]; the present version is due to Gil, Krainer and Mendoza [13].”