@article{SchulzeSeiler2019, author = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {Elliptic complexes on manifolds with boundary}, series = {The journal of geometric analysis}, volume = {29}, journal = {The journal of geometric analysis}, number = {1}, publisher = {Springer}, address = {New York}, issn = {1050-6926}, doi = {10.1007/s12220-018-0014-6}, pages = {656 -- 706}, year = {2019}, abstract = {We show that elliptic complexes of (pseudo) differential operators on smooth compact manifolds with boundary can always be complemented to a Fredholm problem by boundary conditions involving global pseudodifferential projections on the boundary (similarly as the spectral boundary conditions of Atiyah, Patodi, and Singer for a single operator). We prove that boundary conditions without projections can be chosen if, and only if, the topological Atiyah-Bott obstruction vanishes. These results make use of a Fredholm theory for complexes of operators in algebras of generalized pseudodifferential operators of Toeplitz type which we also develop in the present paper.}, language = {en} } @article{GilSchulzeSeiler1997, author = {Gil, J. B. and Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {Holomorphic operator-valued symbols for edgedegenerate pseudo-differential operators}, year = {1997}, language = {en} } @phdthesis{Seiler1997, author = {Seiler, J{\"o}rg}, title = {Pseudodifferential Calculus on Manifolds with Non-Compact Edges}, address = {Potsdam}, pages = {161 S.}, year = {1997}, 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} } @book{LauterSeiler1999, author = {Lauter, Robert and Seiler, J{\"o}rg}, title = {Pseudodifferential analysis on manifolds with boundary - a comparsion of b-calculus and cone algebra}, 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 = {35 S.}, year = {1999}, 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{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} } @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} } @book{SchulzeSeiler2002, author = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {Edge operators with conditions of toeplitz type}, 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 = {20 S.}, year = {2002}, language = {en} } @book{SchulzeSeiler2002, author = {Schulze, Bert-Wolfgang and Seiler, J{\"o}rg}, title = {Pseudodifferential boundary value problems with global projection conditions}, 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}, pages = {37 S.}, year = {2002}, language = {en} }