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Elmar Schrohe


Bild: Schrohe

Institut für Analysis
Leibniz Universität Hannover
Welfengarten 1
30167 Hannover
Deutschland 


Büro: f123, Hauptgebäude (1101) "Welfenschloss" 
Tel.  +49 511 762-3515
Fax  +49 511 762-3518
E-Mail: schrohe at math.uni-hannover.de
WWW: www2.analysis.uni-hannover.de/~schrohe

Sekretariat
Susanne Rudolph
Raum: f124, Hauptgebäude (1101)
Tel. +49 511 762-3563
Fax +49 511 762-3518
E-Mail: sekretariat-b at math.uni-hannover.de

Lage des Büros

Hier ist eine Graphik
Hier ist eine Wegbeschreibung. Siehe auch den Wegweiser auf der rechten Seitenleiste.

Zur Person

Professor für Analysis
Geschäftsführender Leiter des Instituts für Analysis  
Vertrauensdozent der Fulbright-Stiftung www.fulbright.de
Mitherausgeber Mathematische Nachrichten website
Lebenslauf > hier

Forschung

Meine Forschungsinteressen liegen auf den Gebieten

Lehre

Wintersemester 2018

Wintersemester 2017

Sommersemester 2017

Wintersemester 2016

Ressourcen

  • Folien zu Zetafunktionen/Klausurtagung Goslar 2015 hier
  • Lecture Notes Summer School Spectral Geometry hier
  • Skript zur Vorlesung 'Randwertaufgaben', SS 2013 >>
  • Skript zur Vorlesung 'Pseudodifferentialoperatoren', SS 2013 >>
  • Weitere Skripte >>

Tagungen/Schulen/Workshops

Workshop 'Analysis and PDE', 8.10.-10.10.2018 -->Website
Final Colloquium GRK 1463, 15.12.2017 --> Website
Workshop 'Analysis and PDE', 4.10.-6.10.2017 -->Website
Workshop Functional Analysis and Operator Theory in Honor of Lewis A. Coburn, June 19, 2017 --> Website
Workshop 'Analysis and PDE', 29.9.-1.10.2015 -->Website
North German Analysis Colloquium --> Website
Summer School 'Spectral Geometry' 2014 --> Website
frühere Veranstaltungen

Ausgewählte Publikationen

Bounded $H^\infty$-calculus for a degenerate elliptic boundary value problem

Thorben Krietenstein, Elmar Schrohe
Preprint arXiv:1711.00286.

Spectral invariance of pseudodifferential boundary value problems on manifolds with conical singularities

Pedro Lopes, Elmar Schrohe
Preprint arXiv:1709.06817.
To appear in J. Fourier Analysis Appl.

Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities

Nikolaos Roidos, Elmar Schrohe.
Preprint arXiv:1708.07542.
To appear in Comm. Partial Differential Equations

Elliptic operators associated with groups of quantized canonical transformations

Anton Savin, Elmar Schrohe, Boris Sternin
Preprint arXiv:1612.02981
To appear in Bull. Sci. Math.

Bounded $H^\infty$-calculus for cone differential operators

Elmar Schrohe, Jörg Seiler
Preprint arXiv:1706.07232
J. Evolution Equations 18(3):1395-1425 (2018).

Getzler rescaling via adiabatic deformation and a renormalized index formula

Karsten Bohlen, Elmar Schrohe.
Preprint arXiv:1607.07039
J. Math. Pures Appl. 120:220-252 (2018)

Spectral flow of exterior Landau-Robin hamiltonians

Magnus Goffeng, Elmar Schrohe.
Preprint arXiv:1505.06080.
J. Spectral Theory 7:847-879 (2017)
http://dx.doi.org/10.4171/JST/179

Existence and maximal $L^{p}$-regularity of solutions for the porous medium equation on manifolds with conical singularities

Nikolaos Roidos, Elmar Schrohe.
Preprint arXiv:1504.05101.
Comm. Partial Differential Equations 41(9):1441-1471 (2016)
http://dx.doi.org/10.1080/03605302.2016.1219745

Fourier integral operators and the index of symplectomorphisms on manifolds with boundary

Ubertino Battisti, Sandro Coriasco, Elmar Schrohe.
Preprint arXiv:1407.2738.
J. Funct. Anal. 269:3528–3574 (2015)

Uniformization and an index theorem for elliptic operators associated with diffeomorphisms of a manifold

Anton Savin, Elmar Schrohe, Boris Sternin
Preprint arXiv:1111.1525
Russian J. Math. Phys. 22(3):410–420(2015)

Elliptic and Parabolic Equations. Hannover, September 2013

J. Escher, E. Schrohe, J. Seiler, C. Walker (Eds.)
Springer Proceedings in Mathematics & Statistics, vol. 119, Springer International Publishing Switzerland 2015.

A class of Fourier integral operators on manifolds with boundary

Ubertino Battisti, Sandro Coriasco, Elmar Schrohe.
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)

Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation

Nikolaos Roidos, Elmar Schrohe.
Preprint arXiv:1311.4702.
J. Differential Equations 257, 611–637 (2014)
http://dx.doi.org/10.1016/j.jde.2014.04.004

Determinants of classical SG-pseudodifferential operators

Lidia Maniccia, Elmar Schrohe, Jörg Seiler.
Preprint arXiv:1302.3236
Math. Nachr  287:7, 782–802 (2014).

On the index formula for an isometric diffeomorphism

A. Yu Savin, B. Yu. Sternin, E. Schrohe
Preprint arXiv:1112.5515
J. Math. Sci. (N.Y.) 201:818–829 (2014)

Families index for Boutet de Monvel operators

Severino Melo, Thomas Schick, Elmar Schrohe
Preprint arXiv:1203.0482
Münster J. Math. 6, 343–364 (2013).

The Cahn-Hilliard equation and the Allen-Cahn equation on manifolds with conical singularities

Nikolaos Roidos, Elmar Schrohe
Preprint arXiv:1203.3111
Comm. Partial Differential Equations 38:5, 925-943 (2013)

C*-Algebra approach to the index theory of boundary value problems

Severino Melo, Thomas Schick, Elmar Schrohe
Preprint arXiv:1203.5649
Appeared in 'Analysis, Geometry, and Quantum Field Theory', Contemp. Math. 584:129--146, 2012.

FE-BE coupling for a transmission problem involving microstructure

Heiko Gimperlein, Matthias Maischak, Elmar Schrohe, Ernst Stephan
Preprint arXiv:1002.4385

Spectral Triples and the Geometry of Fractals

Erik Christensen, Cristina Ivan, Elmar Schrohe
Preprint arXiv:1002.3081
J. Noncomm. Geom.6:249–274 (2012),

The index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization.

Anton Savin, Elmar Schrohe, Boris Sternin
Preprint arXiv:1112.5515
Dokl. Math. 84:846--849 (2011)

Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb Friction 

Heiko Gimperlein, Matthias Maischak, Elmar Schrohe, Ernst Stephan
Preprint arXiv:0911.1433
Numer. Math. 117:307–332 (2011)

$H_\infty$-calculus for Hypoelliptic Pseudodifferential Operators

Olesya Bilyj, Elmar Schrohe, Joerg Seiler)
Preprint arXiv:0901.3160
Proc. Amer. Math. Soc. 138, 1445--1456 (2010)

Boutet de Monvel's Calculus and Groupoids I 

Johannes Aastrup, Severino Melo, Bertrand Monthubert, Elmar Schrohe
Preprint arXiv:math/0611336
J. Noncomm. Geom. 4, 313 --329 (2010)

Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras 

Johannes Aastrup, Ryszard Nest, Elmar Schrohe
Preprint arXiv:0812.0554
J. Funct. Anal. 257, 2645–2692 (2009)

Uniqueness of the Kontsevich-Vishik trace

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

$H_\infty$-Calculus for Differential Operators on Conic Manifolds with Boundary

Sandro Coriasco, Elmar Schrohe, Jörg Seiler.
Preprint math.AP/0507081
Comm. Partial Differential Equations 32, 229-255 (2007)

Realizations of Differential Operators on Conic Manifolds with Boundary

Sandro Coriasco, Elmar Schrohe, Jörg Seiler
Preprint math.AP/0401395
Ann. Global Anal. Geom. 31, 223-285 (2007)

Complex powers of classical SG-pseudodifferential operators.

Lidia Maniccia, Elmar Schrohe, Jörg Seiler.
Ann. Univ. Ferrara 52, 353--369 (2006).

A K-Theoretic Proof of Boutet de Monvel's Index Theorem

Severino Melo, Thomas Schick, Elmar Schrohe
Preprint math.KT/0403059
J. Reine Angew. Math. 599, 217-233 (2006)

A Continuous Field of $C^*$-algebras and the Tangent Groupoid for Manifolds with Boundary.

Johannes Aastrup, Ryszard Nest, Elmar Schrohe
Preprint math.OA/0507317.
J. Funct. Anal. 237, 482--506 (2006).

The Resolvent of Closed Extensions of Cone Differential Operators

Elmar Schrohe, Jörg Seiler
Preprint math.AP/0209381
Can. J. Math. 57, 771--811 (2005).

Traces and Quasi-traces on the Boutet de Monvel Algebra

Gerd Grubb, Elmar Schrohe
Preprint math.AP/0311001
Ann. Institut Fourier 54, 1641--1696 (2004)

K-theory of Boutet de Monvel's Algebra

Severino T. Melo, Ryszard Nest, Elmar Schrohe.
P. Hajac and W. Pusz eds: Banach Center Publications, vol. 61, pp. 149-156, Warszawa 2003.
pdf

C*-Structure and K-Theory of Boutet de Monvel's Algebra

SeverinoT. Melo and Ryszard Nest, Elmar Schrohe.
Preprint math.OA/0110253.
J. Reine Angew. Math. 561, 145-175 (2003).

Differential Operators on Conic Manifolds: Maximal Regularity and Parabolic Equations

Sandro Coriasco, Elmar Schrohe, Jörg Seiler.
Preprint math.AP/0201184
Bull. Soc. Roy. Sc. Liege 70, 207--229 (2001).

Bounded Imaginary Powers of Differential Operators on Manifolds with Conical Singularities

Sandro Coriasco, Elmar Schrohe, Jörg Seiler.
Preprint math.AP/0106008
Math. Zeitschrift 244, 235-269 (2003).

Adiabatic Vacuum States on General Spacetime Manifolds: Definition, Construction, and Physical Properties

Wolfgang Junker, Elmar Schrohe.
Preprint math-ph/0109010 (older version) pdf
Ann. Henri Poincaré 3 (2002) 1113-1181.

Trace Expansions and the Noncommutative Residue for Manifolds with Boundary

G. Grubb, Elmar Schrohe
Preprint math/0106030
J. Reine Angew. Math. 536:167--207 (2001) pdf

A Short Introduction to Boutet de Monvel's Calculus

Elmar Schrohe Approaches to Singular Analysis, J. Gil, D. Grieser, and M. Lesch (eds), Birkhäuser, Basel 2001, pp.85-116. pdf

Ellipticity and Invertibility in the Cone Algebra on L_p-Sobolev Spaces

Jörg Seiler, Elmar Schrohe.
Integral Equations Operator Theory 41, 93-114 (2001) pdf

Edge-degenerate Boundary Value Problems on Cones

Elmar Schrohe, B.-Wolfgang Schulze.
G. Lumer, L. Weis (eds): Evolution Equations and Their Applications in Physical and Life Sciences, Marcel Dekker, New York, pp. 159-173, 2001 pdf

Noncommutative Residues, Dixmier's Trace, and Heat Trace Expansions on Manifolds with Boundary

Elmar Schrohe
Contemp. Math. 242, 161-186 (1999) pdf

L^p Spectral Independence of Elliptic Operators via Commutator Estimates

Matthias Hieber, Elmar Schrohe.
Positivity 3, 259-272 (1999) pdf

Mellin and Green Symbols for Boundary Value Problems on Manifolds with Edges

Elmar Schrohe, B.-Wolfgang Schulze
Integral Equations Operator Theory 34, 339-- 363 (1999) pdf

Fréchet Algebra Techniques for Boundary Value Problems on Noncompact Manifolds: Fredholm Criteria and Functional Calculus via Spectral Invariance

Elmar Schrohe
Math. Nachr. 199, 145 - 185 (1999) pdf

Construction de Triplets Spectraux à partir de Modules de Fredholm

Elmar Schrohe, Markus Walze und Jan-Martin Warzecha
C.R. Acad. Sc. Paris 326, 1195-1199 (1998) pdf

Dixmier's Trace for Boundary Value Problems

Ryszard Nest, Elmar Schrohe.
manuscripta mathematica 96, 203 - 218 (1998) pdf
The pdf-file is the file for the published version, obtained from Springer Verlag who also holds the copyright.

Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges

Elmar Schrohe, B.-Wolfgang Schulze.
Operator Theory: Advances and Applications 102, 255 - 285 (1998) pdf

Invariance of the L^p Spectrum for Hypoelliptic Operators

Hans-Gerd Leopold, Elmar Schrohe
Proc. Am. Math. Soc. 125, 3679 - 3687 (1997).
pdf

Noncommutative Residues and Manifolds with Conical Singularities

Elmar Schrohe
J. Funct. Anal. 150, 146--174 (1997) pdf

The Noncommutative Residue for Manifolds with Boundary

Boris V. Fedosov, François Golse, Eric Leichtnam, Elmar Schrohe,
J. Funct. Anal. 142, 1 -- 31, 1996. pdf

Boundary Value Problems in Boutet de Monvel's Algebra for Manifolds with Conical Singularities II

Elmar Schrohe, B.-Wolfgang Schulze
Advances in Partial Differential Equations 2, pp. 70 - 205 (= Boundary Value Problems, Schrödinger Operators, Deformation Quantization, Akademie Verlag, Berlin (1995)) pdf

Boundary Value Problems in Boutet de Monvel's Algebra for Manifolds with Conical Singularities I

Elmar Schrohe, B.-Wolfgang Schulze
Advances in Partial Differential Equations 1, pp. 97 - 209 (= Pseudo-Differential Calculus and Mathematical Physics. Akademie Verlag, Berlin (1994)) pdf

Here are scanned pages for an old paper which is no longer in print:

Spaces of Weighted Symbols and Weighted Sobolev Spaces on Manifolds

Elmar Schrohe
Pseudo-Differential Operators. Proceedings Oberwolfach 1986. Springer Lecture Notes in Mathematics, vol 1256 (1987) pp.360-377. pdf


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