Resolvents of elliptic cone operators
Copyright policy )Resolvents of elliptic cone operators
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.
46 pages, submitted for publication
- University of Potsdam Germany
- Temple University United States
- Pennsylvania State University United States
- Institut für Mathematik Germany
- Penn State Altoona United States
ddc:510, Manifolds with conical singularities, Elliptic equations on manifolds, general theory, Institut für Mathematik, 58J50, Functional Analysis (math.FA), Boundary value problems, elliptic differential operators, Mathematics - Functional Analysis, Mathematics - Spectral Theory, elliptic boundary value problems, Mathematics - Analysis of PDEs, Pseudodifferential and Fourier integral operators on manifolds, FOS: Mathematics, Parametrices, Boundary value problems on manifolds, Resolvents, Spectral theory, Spectral Theory (math.SP), Analysis, Analysis of PDEs (math.AP)
ddc:510, Manifolds with conical singularities, Elliptic equations on manifolds, general theory, Institut für Mathematik, 58J50, Functional Analysis (math.FA), Boundary value problems, elliptic differential operators, Mathematics - Functional Analysis, Mathematics - Spectral Theory, elliptic boundary value problems, Mathematics - Analysis of PDEs, Pseudodifferential and Fourier integral operators on manifolds, FOS: Mathematics, Parametrices, Boundary value problems on manifolds, Resolvents, Spectral theory, Spectral Theory (math.SP), Analysis, Analysis of PDEs (math.AP)
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