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Traces and Quasi-traces on the Boutet de Monvel Algebra
Gerd Grubb, Elmar Schrohe
We construct an analogue of Kontsevich and Vishik's canonical trace for a class of pseudodifferential boundary value problems in Boutet de Monvel's calculus on compact manifolds wi…
The Resolvent of Closed Extensions of Cone Differential Operators
Elmar Schrohe, Joerg Seiler
We study closed extensions A of an elliptic differential operator on a manifold with conical singularities, acting as an unbounded operator on a weighted L_p-space. Under suitable…
Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations
S. Coriasco, E. Schrohe, J. Seiler
We study an elliptic differential operator A on a manifold with conic points. Assuming A to be defined on the smooth functions supported away from the singularities, we first addre…
Trace Expansions and the Noncommutative Residue for Manifolds with Boundary
Gerd Grubb, Elmar Schrohe
For a pseudodifferential boundary operator A of integer order νand class zero (in the Boutet de Monvel calculus) on a compact n-dimensional manifold with boundary, we consider the…
Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary
Elmar Schrohe
For manifolds with boundary, we define an extension of Wodzicki's noncommutative residue to boundary value problems in Boutet de Monvel's calculus. We show that this residue can be…