Realizations of Differential Operators on Conic Manifolds with Boundary

E. Schrohe; J. Seiler; S. Coriasco

Realizations of Differential Operators on Conic Manifolds with Boundary

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arxiv math/0401395 v1 pith:5IUQC5SJ submitted 2004-01-28 math.AP

S. Coriasco , E. Schrohe , J. Seiler This is my paper · ORCID

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keywords boundaryoperatorsconditionsdifferentialrealizationsclosedconicconical

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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.

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