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Realizations of Differential Operators on Conic Manifolds with Boundary |
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| Authors: | S. Coriasco E. Schrohe J. Seiler |
| Affiliation: | 1.Dipartimento di Matematica,Universitá di Torino,Turin,Italy;2.Institut für Mathematik,Universit?t Hannover,Hannover,Germany;3.Institut für Angewandte Mathematik,Universit?t Hannover,Hannover,Germany |
| Abstract: | We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L p -Sobolev spaces over a manifold with boundary and conical singularities. Under natural ellipticity conditions we determine the domains of the minimal and the maximal extension. We show that both are Fredholm operators and give a formula for the relative index. Mathematics Subject Classifications (2000): Primary 58J32; Secondary 35G70, 35S15. |
| Keywords: | boundary value problems manifolds with conical singularities pseudodifferential analysis |
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