@misc{Schrohe1999, author = {Schrohe, Elmar}, title = {Lesch, M., Operators of Fuchs type, conical singularities, and asymptotic methods}, 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} } @article{SchroheHieber1999, author = {Schrohe, Elmar and Hieber, Matthias}, title = {Lp spectral independence of elliptic operators via commutator estimates}, year = {1999}, language = {en} } @article{SchroheLeopold1997, author = {Schrohe, Elmar and Leopold, H.-G.}, title = {Invariance of the LP spectrum for hypoeliptic operators}, year = {1997}, language = {en} } @article{SchroheNest1998, author = {Schrohe, Elmar and Nest, R.}, title = {Diximier{\"i}s trace for boundary value problems}, year = {1998}, language = {en} } @unpublished{SchroheSchulze1999, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Edge-degenerate boundary value problems on cones}, url =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} } @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} } @article{SchroheSchulze1995, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Mellin quantization in the cone calculus for Boutet de Monvel{\"i}s algebra}, year = {1995}, language = {en} } @article{SchroheSchulze1999, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Mellin and Green symbols for boundary value problems on manifolds with edges}, year = {1999}, language = {en} } @article{SchroheSchulze1998, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges}, year = {1998}, language = {en} } @article{SchroheSchulze1997, author = {Schrohe, Elmar and Schulze, Bert-Wolfgang}, title = {A symbol algebra for pseudodifferential boundary value problems on manifolds with edges}, year = {1997}, language = {en} } @book{SchroheSeiler2002, author = {Schrohe, Elmar and Seiler, J{\"o}rg}, title = {The resolvent of closed extensions of cone differential operators}, 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 = {28 S.}, year = {2002}, language = {en} } @unpublished{SchroheSeiler1999, author = {Schrohe, Elmar and Seiler, J{\"o}rg}, title = {Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25621}, year = {1999}, abstract = {Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of Lp-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces, it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on Lp(B).}, language = {en} } @unpublished{SchroheSeiler2002, author = {Schrohe, Elmar and Seiler, J{\"o}rg}, title = {The resolvent of closed extensions of cone differential operators}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26378}, year = {2002}, abstract = {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.}, language = {en} } @book{SchroheSeiler1999, author = {Schrohe, Elmar and Seiler, J{\"o}rg}, title = {Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces}, 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 = {22 S.}, year = {1999}, language = {en} } @unpublished{SchroheWalzeWarzecha1998, author = {Schrohe, Elmar and Walze, Markus and Warzecha, Jan-Martin}, title = {Construction de Triplets Spectraux {\`a} Partir de Modules de Fredholm}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25247}, year = {1998}, abstract = {Soit (A, H, F) un module de Fredholm p-sommable, o{\`u} l'alg{\`e}bre A = CT est engendr{\´e}e par un groupe discret Gamma d'{\´e}l{\´e}ments unitaires de L(H) qui est de croissance polynomiale r. On construit alors un triplet spectral (A, H, D) sommabilit{\´e} q pour tout q > p + r + 1 avec F = signD. Dans le cas o{\`u} (A, H, F) est (p, infini)-sommable on obtient la (q, infini)-sommabilit{\´e} de (A, H, D)pour tout q > p + r + 1.}, language = {fr} } @article{SchroheWalzeWarzecha1998, author = {Schrohe, Elmar and Walze, Markus and Warzecha, Jan-Martin}, title = {Construction de triplets spectraux a partir de modules de Fredholm}, year = {1998}, language = {de} }