Realizations of Differential Operators on Conic Manifolds with Boundary

Details Realizations of Differential Operators on Conic Manifolds with Boundary Realizations of Differential Operators on Conic Manifolds with Boundary

2004-01-28

arxiv.org/abs/math/0401395v1

Mathematics

Analysis of PDEs

41 pages, 1 figure

Scientific paper

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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