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Geometry and Spectra of Closed Extensions of Elliptic Cone Operators

Published:2007-08-01
Printed: Aug 2007
• Juan B. Gil
• Thomas Krainer
• Gerardo A. Mendoza
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Abstract

We study the geometry of the set of closed extensions of index $0$ of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.
 Keywords: resolvents, manifolds with conical singularities, spectral theor, boundary value problems, Grassmannians
 MSC Classifications: 58J50 - Spectral problems; spectral geometry; scattering theory [See also 35Pxx] 35J70 - Degenerate elliptic equations 14M15 - Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35]