@article{SchroheHieber1999, author = {Schrohe, Elmar and Hieber, Matthias}, title = {Lp spectral independence of elliptic operators via commutator estimates}, year = {1999}, language = {en} } @article{Schrohe1999, author = {Schrohe, Elmar}, title = {Frechet algebra techniques for boundary value problems on noncompact manifolds : Fredholm riteria and functional calculus via spectral invariance}, year = {1999}, language = {en} } @article{Schrohe1999, author = {Schrohe, Elmar}, title = {Noncommutative residues, Diximier{\"i}s trace, and heat trace expansions on manifolds with boundary}, year = {1999}, language = {en} } @unpublished{MeloNestSchrohe2001, author = {Melo, S. T. and Nest, R. and Schrohe, Elmar}, title = {C*-structure and K-theory of Boutet de Monvel's algebra}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26166}, year = {2001}, abstract = {We consider the norm closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a manifold X with boundary ∂X. We first describe the image and the kernel of the continuous extension of the boundary principal symbol homomorphism to A. If X is connected and ∂X is not empty, we then show that the K-groups of A are topologically determined. In case the manifold, its boundary, and the cotangent space of its interior have torsion free K-theory, we get Ki(A,k) congruent Ki(C(X))⊕Ksub(1-i)(Csub(0)(T*X)),i = 0,1, with k denoting the compact ideal, and T*X denoting the cotangent bundle of the interior. Using Boutet de Monvel's index theorem, we also prove that the above formula holds for i = 1 even without this torsion-free hypothesis. For the case of orientable, two-dimensional X, Ksub(0)(A) congruent Z up(2g+m) and Ksub(1)(A) congruent Z up(2g+m-1), where g is the genus of X and m is the number of connected components of ∂X. We also obtain a composition sequence 0 ⊂ k ⊂ G ⊂ A, with A/G commutative and G/k isomorphic to the algebra of all continuous functions on the cosphere bundle of ∂X with values in compact operators on L²(R+).}, language = {en} } @unpublished{SchroheSchulze1999, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Edge-degenerate boundary value problems on cones}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25436}, year = {1999}, abstract = {We consider edge-degenerate families of pseudodifferential boundary value problems on a semi-infinite cylinder and study the behavior of their push-forwards as the cylinder is blown up to a cone near infinity. We show that the transformed symbols belong to a particularly convenient symbol class. This result has applications in the Fredholm theory of boundary value problems on manifolds with edges.}, language = {en} } @book{SchroheSchulze1999, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Edge-degenerate boundary value problems on cones}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik, Arbeitsgruppe Partiell}, publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {14 S.}, year = {1999}, language = {en} } @book{SchulzeSchrohe1997, author = {Schulze, Bert-Wolfgang and Schrohe, Elmar}, title = {Arbeitsgruppe "Partielle Differentialgleichungen und Komplexe Analysis" (seit 1992)}, series = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, volume = {1997, 12}, journal = {Preprint / Universit{\"a}t Potsdam, Institut f{\"u}r Mathematik}, publisher = {Univ.}, address = {Potsdam}, pages = {61 S.}, year = {1997}, language = {de} } @article{SchroheSchulze1995, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Boundary value problems in Boutet de Monvel's algebra for manifolds with conical singularities II}, year = {1995}, language = {en} } @article{SchroheSchulze1994, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Boundary value problems in Boutet de Monvel{\"i}s algebra for manifolds with conical singularities I}, year = {1994}, language = {en} } @book{AlbeverioDemuthSchroheetal.2002, author = {Albeverio, Sergio and Demuth, Michael and Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Parabolicity, volterra calculus, and conical singularities : a volume of advances in partial differential equations}, series = {Operator theory : advances and applications}, volume = {138}, journal = {Operator theory : advances and applications}, publisher = {Birkh{\"a}user Verl.}, address = {Basel}, isbn = {3-7643-6906-x}, pages = {358 S.}, year = {2002}, language = {en} }