TY  - INPR
A1  - Schrohe, Elmar
A1  - Seiler, Jörg
T1  - The resolvent of closed extensions of cone differential operators
N2  - We study an elliptic differential operator on a manifold with conical singularities, acting as an unbounded operator on a weighted Lp-space. Under suitable conditions we show that the resolvent (λ - A )-¹ exists in a sector of the complex plane and decays like 1/|λ| as |λ| -> ∞. Moreover, we determine the structure of the resolvent with enough precision to guarantee existence and boundedness of imaginary powers of A. As an application we treat the Laplace-Beltrami operator for a metric with striaght conical degeneracy and establish maximal regularity for the Cauchy problem u - Δu = f, u(0) = 0.
T3  - Preprint - (2002) 19 
Y1  - 2008
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/2432
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-26378
ER  -