Ausgewählte Publikationen

Anton Savin, Elmar Schrohe. Local index formulae on noncommutative orbifolds and equivariant zeta functions for the affine metaplectic group. Preprint arXiv:2008.11075. To appear in J. Differential Equations.

Anton Savin, Elmar Schrohe. An index formula for groups of isometric linear canonical transformations. Preprint arXiv:2008.00734.

Karsten Fritzsch, Daniel Grieser, Elmar Schrohe. The Calderón projector for fibred cusp operators. Preprint arXiv:2006.04645.

Anton Savin, Elmar Schrohe. Operator algebras associated with quantized canonical transformations. Preprint arXiv:1908.10707. RIMS Kôkyûroku 2137

N. Roidos, E. Schrohe, J. Seiler. Bounded H-calculus for boundary value problems on manifolds with conical singularities Preprint arXiv:1906.03701.

Anton Savin, Elmar Schrohe. Analytic and algebraic indices of elliptic operators associated with discrete groups of quantized canonical transformations Preprint arXiv:1812.11550. J. Funct. Anal.278 (2020) 108400 hier

Thorben Krietenstein, Elmar Schrohe. Bounded H-calculus for a degenerate elliptic boundary value problem. Preprint arXiv:1711.00286.

Anton Savin, Elmar Schrohe, Boris Sternin. Elliptic operators associated with groups of quantized canonical transformations. Preprint arXiv:1612.02981 Bull. Sci. Math. 155:141-167 (2019) https://doi.org/10.1016/j.bulsci.2019.01.010

Pedro Lopes, Elmar Schrohe. Spectral invariance of pseudodifferential boundary value problems on manifolds with conical singularities. Preprint arXiv:1709.06817. 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. Preprint arXiv:1708.07542. Comm. Partial Differential Equations 43(10):1456-1484 (2018)

Elmar Schrohe, Jörg Seiler. Bounded H-calculus for cone differential operators. Preprint arXiv:1706.07232 J. Evolution Equations 18(3):1395-1425 (2018)

Karsten Bohlen, Elmar Schrohe. Getzler rescaling via adiabatic deformation and a renormalized index formula. Preprint arXiv:1607.07039 J. Math. Pures Appl. 120:220-252 (2018)

Magnus Goffeng, Elmar Schrohe. Spectral flow of exterior Landau-Robin hamiltonians. Preprint arXiv:1505.06080. J. Spectral Theory 7:847-879 (2017) dx.doi.org/10.4171/JST/179

Nikolaos Roidos, Elmar Schrohe. Existence and maximal Lp-regularity of solutions for the porous medium equation on manifolds with conical singularities. Preprint arXiv:1504.05101. Comm. Partial Differential Equations 41(9):1441-1471 (2016).   dx.doi.org/10.1080/03605302.2016.1219745.

Ubertino Battisti, Sandro Coriasco, Elmar Schrohe. Fourier integral operators and the index of symplectomorphisms on manifolds with boundary. Preprint arXiv:1407.2738. 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. Preprint arXiv:1111.1525.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. Preprint arXiv:1406.0636 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. Preprint arXiv:1311.4702.  J. Differential Equations 257, 611–637 (2014). dx.doi.org/10.1016/j.jde.2014.04.004

Lidia Maniccia, Elmar Schrohe, Jörg Seiler. Determinants of classical SG-pseudodifferential operators. Preprint arXiv:1302.3236Math. Nachr.  287:7, 782–802 (2014).

A. Yu Savin, B. Yu. Sternin, E. Schrohe  On the index formula for an isometric diffeomorphism. Preprint arXiv:1112.5515J. Math. Sci. (N.Y.) 201:818–829 (2014)

Severino Melo, Thomas Schick, Elmar Schrohe. Families index for Boutet de Monvel operators. Preprint arXiv:1203.0482Münster J. Math. 6, 343–364 (2013).

Nikolaos Roidos, Elmar Schrohe. The Cahn-Hilliard equation and the Allen-Cahn equation on manifolds with conical singularities. Preprint arXiv:1203.3111 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. Preprint arXiv:1203.5649. Appeared 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 Preprint arXiv:1002.3081 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. Preprint arXiv:1112.5515. 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. Preprint arXiv:0911.1433. Numer. Math. 117:307–332 (2011)

Olesya Bilyj, Elmar Schrohe, Jörg Seiler H-calculus for Hypoelliptic Pseudodifferential Operators. Preprint arXiv:0901.3160Proc. Amer. Math. Soc. 138, 1445--1456 (2010)

Johannes Aastrup, Severino Melo, Bertrand Monthubert, Elmar Schrohe. Boutet de Monvel's Calculus and Groupoids I. Preprint arXiv:math/0611336J. Noncomm. Geom. 4, 313 --329 (2010).

Johannes Aastrup, Ryszard Nest, Elmar Schrohe. Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras. Preprint arXiv:0812.0554J. Funct. Anal. 257, 2645–2692 (2009)

Lidia Maniccia, Elmar Schrohe, Jörg Seiler .Uniqueness of the Kontsevich-Vishik trace. Preprint arXiv:math/0702250Proc. Amer. Math. Soc. 136, 747-752 (2009)

Sandro Coriasco, Elmar Schrohe, Jörg Seiler. HCalculus for Differential Operators on Conic Manifolds with Boundary. Preprint math.AP/0507081Comm. Partial Differential Equations 32, 229-255 (2007)

Sandro Coriasco, Elmar Schrohe, Jörg Seiler. Realizations of Differential Operators on Conic Manifolds with Boundary. Preprint math.AP/0401395Ann. 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. Preprint math.KT/0403059J. 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. Preprint math.OA/0507317J. Funct. Anal. 237, 482--506 (2006).

Elmar Schrohe, Jörg Seiler. The Resolvent of Closed Extensions of Cone Differential Operators. Preprint math.AP/0209381Can. J. Math. 57, 771--811 (2005).

Gerd Grubb, Elmar Schrohe . Traces and Quasi-traces on the Boutet de Monvel Algebra. Preprint math.AP/0311001Ann. 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. Preprint math.OA/0110253J. Reine Angew. Math. 561, 145-175 (2003).

Sandro Coriasco, Elmar Schrohe, Jörg Seiler. Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations. Preprint math.AP/0201184. 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. Preprint math.AP/0106008Math. Zeitschrift 244, 235-269 (2003).

Wolfgang Junker, Elmar Schrohe.  Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties. Preprint math-ph/0109010 (older version) Ann. Henri Poincaré 3:1113-1181 (2002).

G. Grubb, Elmar Schrohe. Trace Expansions and the Noncommutative Residue for Manifolds with Boundary. Preprint math/0106030J. 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 und 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.