Realizations of Differential Operators on Conic Manifolds with Boundary

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.

41 pages, 1 figure

References in corpus (1)

• Bounded Imaginary Powers of Differential Operators on Manifolds with Conical Singularities

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