Ausgewählte Publikationen
See also preprints on arXiv (here)
Yafet Sanchez Sanchez, Elmar Schrohe. The Sobolev wavefront set of the causal propagator in finite regularity. arXiv:2203.04362 Ann. Henri Poincaré, to appear
Anton Savin, Elmar Schrohe. Noncommutative residues, equivariant traces and trace expansions for an operator algebra on Rn. Journal of Functional Analysis 287 (2024) 110477 (here)
Karsten Fritzsch, Daniel Grieser, Elmar Schrohe. The Calderón projector for fibred cusp operators. Journal of Functional Analysis 285 (2023) 110127 (here)
Yafet Sanchez Sanchez, Elmar Schrohe. Adiabatic ground states in non-smooth spacetimes. Ann. Henri Poincaré 24 (2023), 2929–2948 (here).
Anton Savin, Elmar Schrohe. Trace expansions and equivariant traces on an algebra of Fourier integral operators on Rn. Proc. Symposia Pure Mathematics 105:457-476. 2023 (here)
Anton Savin, Elmar Schrohe. Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group. Adv. Math. 409:108624, 2022
Anton Savin, Elmar Schrohe. An index formula for groups of isometric linear canonical transformations. Doc Math. 27:983-1013, 2022 here
Thorben Krietenstein, Elmar Schrohe. Bounded H∞-calculus for a degenerate elliptic boundary value problem. Math. Annalen 383:1597-1646, 2022 here
N. Roidos, E. Schrohe, J. Seiler. Bounded H∞-calculus for boundary value problems on manifolds with conical singularities. J. Differential Equations 297 (2021) 370–408 (here}
Anton Savin, Elmar Schrohe. Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations. J. Funct. Anal. 278 (2020) 108400 here
Anton Savin, Elmar Schrohe. Operator algebras associated with quantized canonical transformations. RIMS Kôkyûroku 2137
Anton Savin, Elmar Schrohe, Boris Sternin. Elliptic operators associated with groups of quantized canonical transformations. Bull. Sci. Math. 155:141-167 (2019) (here)
Pedro Lopes, Elmar Schrohe. Spectral invariance of pseudodifferential boundary value problems on manifolds with conical singularities. J. Fourier Analysis Appl. 25:1147--1202 (2019)
Anton Yu. Savin, Elmar Schrohe, Boris Yu. Sternin. Elliptic operators associated with groups of quantum canonical transformations. (Russian) Uspekhi Mat. Nauk 73, no. 3(441):179-180 (2018). Translation in Russian Math. Surveys 73(3):546-548 (2018).
Nikolaos Roidos, Elmar Schrohe. Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. Comm. Partial Differential Equations 43(10):1456-1484 (2018)
Elmar Schrohe, Jörg Seiler. Bounded H∞-calculus for cone differential operators. J. Evolution Equations 18(3):1395-1425 (2018)
Karsten Bohlen, Elmar Schrohe. Getzler rescaling via adiabatic deformation and a renormalized index formula. J. Math. Pures Appl. 120:220-252 (2018)
Magnus Goffeng, Elmar Schrohe. Spectral flow of exterior Landau-Robin hamiltonians. J. Spectral Theory 7:847-879 (2017)
Nikolaos Roidos, Elmar Schrohe. Existence and maximal Lp-regularity of solutions for the porous medium equation on manifolds with conical singularities. Comm. Partial Differential Equations 41(9):1441-1471 (2016). (here) .
Ubertino Battisti, Sandro Coriasco, Elmar Schrohe. Fourier integral operators and the index of symplectomorphisms on manifolds with boundary. J. Funct. Anal. 269:3528–3574 (2015)
Anton Savin, Elmar Schrohe, Boris Sternin. Uniformization and an index theorem for elliptic operators associated with diffeomorphisms of a manifold. Russian J. Math. Phys. 22(3):410–420(2015)
J. Escher, E. Schrohe, J. Seiler, C. Walker (Eds.). Elliptic and Parabolic Equations. Hannover, September 2013 Springer Proceedings in Mathematics & Statistics, vol. 119, Springer International Publishing Switzerland 2015.
Ubertino Battisti, Sandro Coriasco, Elmar Schrohe. A class of Fourier integral operators on manifolds with boundary. In: Pseudo-Differential Operators and Generalized Functions. Operator Theory: Advances and Applications, vol. 245. Stevan Pilipovic, Joachim Toft (eds), pp. 1-19 (2015)
Nikolaos Roidos, Elmar Schrohe. Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation. J. Differential Equations 257:611–637 (2014) (here)
Lidia Maniccia, Elmar Schrohe, Jörg Seiler. Determinants of classical SG-pseudodifferential operators. Math. Nachr. 287:7, 782–802 (2014).
A. Yu Savin, B. Yu. Sternin, E. Schrohe On the index formula for an isometric diffeomorphism.J. Math. Sci. (N.Y.) 201:818–829 (2014)
Severino Melo, Thomas Schick, Elmar Schrohe. Families index for Boutet de Monvel operators.Münster J. Math. 6, 343–364 (2013).
Nikolaos Roidos, Elmar Schrohe. The Cahn-Hilliard equation and the Allen-Cahn equation on manifolds with conical singularities. Comm. Partial Differential Equations 38:5, 925-943 (2013)
Severino Melo, Thomas Schick, Elmar Schrohe. C*-Algebra approach to the index theory of boundary value problems. In 'Analysis, Geometry, and Quantum Field Theory', Contemp. Math. 584:129--146, 2012.
Heiko Gimperlein, Matthias Maischak, Elmar Schrohe, Ernst Stephan. FE-BE coupling for a transmission problem involving microstructure. Preprint arXiv:1002.4385
Erik Christensen, Cristina Ivan, Elmar Schrohe. Spectral Triples and the Geometry of Fractals. J. Noncomm. Geom.6:249–274 (2012),
Anton Savin, Elmar Schrohe, Boris Sternin. The index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Dokl. Math. 84:846--849 (2011)
Heiko Gimperlein, Matthias Maischak, Elmar Schrohe, Ernst Stephan. Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb Friction. Numer. Math. 117:307–332 (2011)
Olesya Bilyj, Elmar Schrohe, Jörg Seiler H∞-calculus for Hypoelliptic Pseudodifferential Operators. Proc. Amer. Math. Soc. 138, 1445--1456 (2010)
Johannes Aastrup, Severino Melo, Bertrand Monthubert, Elmar Schrohe. Boutet de Monvel's Calculus and Groupoids I. J. Noncomm. Geom. 4, 313 --329 (2010).
Johannes Aastrup, Ryszard Nest, Elmar Schrohe. Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras. J. Funct. Anal. 257, 2645–2692 (2009)
Lidia Maniccia, Elmar Schrohe, Jörg Seiler. Uniqueness of the Kontsevich-Vishik trace.Proc. Amer. Math. Soc. 136, 747-752 (2009)
Sandro Coriasco, Elmar Schrohe, Jörg Seiler. H∞-Calculus for Differential Operators on Conic Manifolds with Boundary. Comm. Partial Differential Equations 32, 229-255 (2007)
Sandro Coriasco, Elmar Schrohe, Jörg Seiler. Realizations of Differential Operators on Conic Manifolds with Boundary. Ann. Global Anal. Geom. 31, 223-285 (2007)
Lidia Maniccia, Elmar Schrohe, Jörg Seiler. Complex powers of classical SG-pseudodifferential operators. Ann. Univ. Ferrara 52, 353--369 (2006).
Severino Melo, Thomas Schick, Elmar Schrohe. A K-Theoretic Proof of Boutet de Monvel's Index Theorem.J. Reine Angew. Math. 599, 217-233 (2006)
Johannes Aastrup, Ryszard Nest, Elmar Schrohe. A Continuous Field of $C^*$-algebras and the Tangent Groupoid for Manifolds with Boundary. J. Funct. Anal. 237, 482--506 (2006).
Elmar Schrohe, Jörg Seiler. The Resolvent of Closed Extensions of Cone Differential Operators.Can. J. Math. 57, 771--811 (2005).
Gerd Grubb, Elmar Schrohe . Traces and Quasi-traces on the Boutet de Monvel Algebra. Ann. Institut Fourier 54, 1641--1696 (2004)
Severino T. Melo, Ryszard Nest, Elmar Schrohe. K-theory of Boutet de Monvel's Algebra. P. Hajac and W. Pusz eds: Banach Center Publications, vol. 61, pp. 149-156, Warszawa 2003.
Severino T. Melo and Ryszard Nest, Elmar Schrohe. C*-Structure and K-Theory of Boutet de Monvel's Algebra. J. Reine Angew. Math. 561, 145-175 (2003).
Sandro Coriasco, Elmar Schrohe, Jörg Seiler. Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations. Bull. Soc. Roy. Sc. Liege 70, 207--229 (2001).
Sandro Coriasco, Elmar Schrohe, Jörg Seiler. Bounded Imaginary Powers of Differential Operators on Manifolds with Conical Singularities. Math. Zeitschrift 244, 235-269 (2003).
Wolfgang Junker, Elmar Schrohe. Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties. Ann. Henri Poincaré 3:1113-1181 (2002).
G. Grubb, Elmar Schrohe. Trace Expansions and the Noncommutative Residue for Manifolds with Boundary. J. Reine Angew. Math. 536:167--207 (2001).
Elmar Schrohe. A Short Introduction to Boutet de Monvel's Calculus. Approaches to Singular Analysis, J. Gil, D. Grieser, and M. Lesch (eds), Birkhäuser, Basel 2001, pp.85-116.
Jörg Seiler, Elmar Schrohe. Ellipticity and Invertibility in the Cone Algebra on Lp-Sobolev Spaces. Integral Equations Operator Theory 41, 93-114 (2001).
Elmar Schrohe, B.-Wolfgang Schulze. Edge-degenerate Boundary Value Problems on Cones. G. Lumer, L. Weis (eds): Evolution Equations and Their Applications in Physical and Life Sciences, Marcel Dekker, New York, pp. 159-173, 2001.
Elmar Schrohe. Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary. Contemp. Math. 242, 161-186 (1999).
Matthias Hieber, Elmar Schrohe. Lp Spectral Independence of Elliptic Operators via Commutator Estimates. Positivity 3, 259-272 (1999).
Elmar Schrohe, B.-Wolfgang Schulze. Mellin and Green Symbols for Boundary Value Problems on Manifolds with Edges. Integral Equations Operator Theory 34, 339-- 363 (1999).
Elmar Schrohe. Fréchet Algebra Techniques for Boundary Value Problems on Noncompact Manifolds: Fredholm Criteria and Functional Calculus via Spectral Invariance. Math. Nachr. 199, 145 - 185 (1999).
Elmar Schrohe, Markus Walze, Jan-Martin Warzecha . Construction de Triplets Spectraux à partir de Modules de Fredholm. C.R. Acad. Sc. Paris 326, 1195-1199 (1998).
Ryszard Nest, Elmar Schrohe. Dixmier's Trace for Boundary Value Problems. manuscripta mathematica 96, 203 - 218 (1998).
Elmar Schrohe, B.-Wolfgang Schulze. Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges. Operator Theory: Advances and Applications 102, 255 - 285 (1998).
Hans-Gerd Leopold, Elmar Schrohe. Invariance of the Lp Spectrum for Hypoelliptic Operators. Proc. Am. Math. Soc. 125, 3679 - 3687 (1997).
Elmar Schrohe. Noncommutative Residues and Manifolds with Conical Singularities. J. Funct. Anal. 150, 146--174 (1997).
Boris V. Fedosov, François Golse, Eric Leichtnam, Elmar Schrohe. The Noncommutative Residue for Manifolds with Boundary. J. Funct. Anal. 142, 1 -- 31, 1996.
Elmar Schrohe, B.-Wolfgang Schulze. Boundary Value Problems in Boutet de Monvel's Algebra for Manifolds with Conical Singularities II. Advances in Partial Differential Equations 2, pp. 70 - 205 (= Boundary Value Problems, Schrödinger Operators, Deformation Quantization, Akademie Verlag, Berlin (1995)).
Elmar Schrohe, B.-Wolfgang Schulze. Boundary Value Problems in Boutet de Monvel's Algebra for Manifolds with Conical Singularities I. Advances in Partial Differential Equations 1, pp. 97 - 209 (= Pseudo-Differential Calculus and Mathematical Physics. Akademie Verlag, Berlin (1994)).
Elmar Schrohe. Weighted Symbols and Weighted Sobolev Spaces on Manifolds. Pseudo-Differential Operators. Proceedings Oberwolfach 1986.
