@unpublished{SchulzeSeiler2001, author = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {The edge algebra structure of boundary value problems}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25955}, year = {2001}, abstract = {Boundary value problems for pseudodifferential operators (with or without the transmission property) are characterised as a substructure of the edge pseudodifferential calculus with constant discrete asymptotics. The boundary in this case is the edge and the inner normal the model cone of local wedges. Elliptic boundary value problems for non-integer powers of the Laplace symbol belong to the examples as well as problems for the identity in the interior with a prescribed number of trace and potential conditions. Transmission operators are characterised as smoothing Mellin and Green operators with meromorphic symbols.}, language = {en} } @book{SchulzeSeiler2001, author = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {The edge algebra structure of boundary value problems}, 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publisher = {Univ.}, address = {Potsdam}, issn = {1437-739X}, pages = {52 S.}, year = {2001}, language = {en} } @unpublished{CoriascoSchroheSeiler2001, author = {Coriasco, Sandro and Schrohe, Elmar and Seiler, J{\"o}rg}, title = {Bounded imaginary powers of differential operators on manifolds with conical singularities}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-25962}, year = {2001}, abstract = {We study the minimal and maximal closed extension of a differential operator A on a manifold B with conical singularities, when A acts as an unbounded operator on weighted Lp-spaces over B,1 < p < ∞. Under suitable ellipticity assumptions we can define a family of complex powers A up(z), z ∈ C. We also obtain sufficient information on the resolvent of A to show the boundedness of the pure imaginary powers. Examples concern unique solvability and maximal regularity of the solution of the Cauchy problem u' - Δu = f, u(0) = 0, for the Laplacian on conical manifolds.}, language = {en} } @article{CoriascoSeilerSchrohe2001, author = {Coriasco, S. and Seiler, J{\"o}rg and Schrohe, Elmar}, title = {Differential operators on conic manifolds : maximal regularity and parabolic equations}, year = {2001}, language = {en} } @book{CoriascoSchroheSeiler2001, author = {Coriasco, S. and Schrohe, Elmar and Seiler, J{\"o}rg}, title = {Bounded imaginary powers of differential operators on manifolds with conical singularities}, 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 = {23 S.}, year = {2001}, language = {en} }