# zbMATH — the first resource for mathematics

## Schrohe, Elmar

Compute Distance To:
 Author ID: schrohe.elmar Published as: Schrohe, E.; Schrohe, Elmar Homepage: http://www.analysis.uni-hannover.de/~schrohe/ External Links: MGP
 Documents Indexed: 88 Publications since 1984, including 9 Books
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#### Co-Authors

 20 single-authored 14 Schulze, Bert-Wolfgang 12 Seiler, Jörg 7 Demuth, Michael 6 Coriasco, Sandro 6 Melo, Severino Toscano 6 Savin, Anton Yur’evich 5 Nest, Ryszard 5 Sternin, Boris Yur’evich 4 Leopold, Hans-Gerd 4 Roidos, Nikolaos 3 Aastrup, Johannes 3 Maniccia, Lidia 3 Schick, Thomas 3 Sjöstrand, Johannes 2 Albeverio, Sergio A. 2 Battisti, Ubertino 2 Erkip, Albert Kohen 2 Fedosov, Boris Vasil’evich 2 Golse, François 2 Grubb, Gerd 2 Leichtnam, Eric 1 Bilyj, Olesya 1 Boggiatto, Paolo 1 Bohlen, Karsten 1 Christensen, Erik 1 Cordes, Heinz Otto 1 Escher, Joachim 1 Gimperlein, Heiko 1 Goffeng, Magnus 1 Gramsch, Bernhard 1 Hieber, Matthias 1 Ivan, Cristina 1 Junker, Wolfgang 1 Lopes, Pedro T. P. 1 Maischak, Matthias 1 Monthubert, Bertrand 1 Stephan, Ernst Peter 1 Walker, Christoph 1 Walze, Markus 1 Warzecha, Jan-Martin
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#### Serials

 7 Journal of Functional Analysis 5 Integral Equations and Operator Theory 5 Communications in Partial Differential Equations 4 Mathematische Nachrichten 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 Annals of Global Analysis and Geometry 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Journal of Noncommutative Geometry 2 Operator Theory: Advances and Applications 1 Russian Mathematical Surveys 1 Annales de l’Institut Fourier 1 Bulletin de la Société Royale des Sciences de Liège 1 Canadian Journal of Mathematics 1 Journal of Differential Equations 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Russian Journal of Mathematical Physics 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Doklady Mathematics 1 Positivity 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Münster Journal of Mathematics 1 Journal of Spectral Theory 1 Springer Proceedings in Mathematics & Statistics
all top 5

#### Fields

 61 Partial differential equations (35-XX) 58 Global analysis, analysis on manifolds (58-XX) 44 Operator theory (47-XX) 31 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 6 $$K$$-theory (19-XX) 5 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

76 Publications have been cited 651 times in 345 Documents Cited by Year
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
1996
Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties. Zbl 1038.81052
Junker, W.; Schrohe, E.
2002
Ellipticity and invertibility in the cone algebra on $$L_p$$-Sobolev spaces. Zbl 0992.58010
Schrohe, Elmar; Seiler, Jörg
2001
Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities. I. Zbl 0827.35145
Schrohe, Elmar; Schulze, Bert-Wolfgang
1994
Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities. II. Zbl 0847.35156
Schrohe, Elmar; Schulze, Bert-Wolfgang
1995
Fréchet algebra techniques for boundary value problems on noncompact manifolds: Fredholm criteria and functional calculus via spectral invariance. Zbl 0923.58054
Schrohe, Elmar
1999
Spaces of weighted symbols and weighted Sobolev spaces on manifolds. Zbl 0638.58026
Schrohe, Elmar
1987
Bounded imaginary powers of differential operators on manifolds with conical singularities. Zbl 1160.58305
Coriasco, S.; Schrohe, E.; Seiler, J.
2003
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
2001
The resolvent of closed extensions of cone differential operators. Zbl 1096.35054
Schrohe, E.; Seiler, J.
2005
Complex powers on noncompact manifolds and manifolds with singularities. Zbl 0627.35090
Schrohe, Elmar
1988
A short introduction to Boutet de Monvel’s calculus. Zbl 0985.35122
Schrohe, Elmar
2001
Existence and maximal $$L^p$$-regularity of solutions for the porous medium equation on manifolds with conical singularities. Zbl 1353.58012
Roidos, Nikolaos; Schrohe, Elmar
2016
A symbol algebra for pseudodifferential boundary value problems on manifolds with edges. Zbl 0882.35144
Schrohe, Elmar; Schulze, Bert-Wolfgang
1997
Complex powers of classical SG-pseudodifferential operators. Zbl 1147.58027
Maniccia, Lidia; Schrohe, Elmar; Seiler, Jörg
2006
Noncommutative residues, Dixmier’s trace, and heat trace expansions on manifolds with boundary. Zbl 0960.58013
Schrohe, Elmar
1999
Normal solvability of elliptic boundary value problems on asymptotically flat manifolds. Zbl 0772.58059
Erkip, Albert K.; Schrohe, Elmar
1992
Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted $$L^ p$$-Sobolev spaces. Zbl 0703.35186
Schrohe, Elmar
1990
The Cahn-Hilliard equation and the Allen-Cahn equation on manifolds with conical singularities. Zbl 1272.58013
Roidos, Nikolaos; Schrohe, Elmar
2013
A $$\psi ^ *$$ algebra of pseudodifferential operators on noncompact manifolds. Zbl 0631.47035
Schrohe, Elmar
1988
Complex powers of elliptic pseudodifferential operators. Zbl 0597.35123
Schrohe, Elmar
1986
Bounded $$H_{\infty}$$-calculus for differential operators on conic manifolds with boundary. Zbl 1116.58020
Coriasco, S.; Schrohe, E.; Seiler, J.
2007
Realizations of differential operators on conic manifolds with boundary. Zbl 1116.58019
Coriasco, S.; Schrohe, E.; Seiler, J.
2007
Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces. Zbl 0788.47046
Schrohe, Elmar
1992
Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation. Zbl 1431.35219
Roidos, Nikolaos; Schrohe, Elmar
2014
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
2012
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
2004
$$C^*$$-structure and K-theory of Boutet de Monvel’s algebra. Zbl 1043.19003
Melo, S. T.; Nest, R.; Schrohe, E.
2003
Differential operators on conic manifolds: Maximal regularity and parabolic equations. Zbl 1010.58022
Coriasco, S.; Schrohe, E.; Seiler, J.
2001
Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces. Zbl 0791.35161
Leopold, Hans-Gerd; Schrohe, Elmar
1993
Boutet de Monvel’s calculus and groupoids. I. Zbl 1216.58008
Aastrup, Johannes; Melo, Severino T.; Monthubert, Bertrand; Schrohe, Elmar
2010
Uniqueness of the Kontsevich-Vishik trace. Zbl 1132.58018
Maniccia, L.; Schrohe, E.; Seiler, J.
2008
A $$K$$-theoretic proof of Boutet de Monvel’s index theorem for boundary value problems. Zbl 1121.19001
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2006
The symbols of an algebra of pseudo-differential operators. Zbl 0575.47034
Schrohe, Elmar
1986
Trace theorems for Sobolev spaces of variable order of differentiation. Zbl 0854.46030
Leopold, Hans-Gerd; Schrohe, Elmar
1996
Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges. Zbl 0908.35148
Schrohe, E.; Schulze, B.-W.
1998
Spectral invariance for algebras of pseudodifferential operators on Besov spaces of variable order of differentiation. Zbl 0765.46017
Leopold, Hans-Gerd; Schrohe, Elmar
1992
Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction. Zbl 1428.74161
Gimperlein, Heiko; Maischak, Matthias; Schrohe, Elmar; Stephan, Ernst P.
2011
A continuous field of $$C^{*}$$-algebras and the tangent groupoid for manifolds with boundary. Zbl 1131.58017
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2006
Edge-degenerate boundary value problems on cones. Zbl 0972.35202
Schrohe, E.; Schulze, B.-W.
2001
Construction of spectral triples starting from Fredholm modules. Zbl 0934.46062
Schrohe, Elmar; Walze, Markus; Warzecha, Jan-Martin
1998
Dixmier’s trace for boundary value problems. Zbl 0914.35158
Nest, Ryszard; Schrohe, Elmar
1998
Noncommutative residues and manifolds with conical singularities. Zbl 0903.58057
Schrohe, Elmar
1997
On the symbol homomorphism of a certain Fréchet algebra of singular integral operators. Zbl 0578.47035
Cordes, Heinz-Otto; Schrohe, Elmar
1985
Determinants of classical SG-pseudodifferential operators. Zbl 1304.47064
Maniccia, L.; Schrohe, E.; Seiler, J.
2014
Families index for Boutet de Monvel operators. Zbl 1302.46059
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2013
Wodzicki’s noncommutative residue and traces for operator algebras on manifolds with conical singularities. Zbl 0883.58039
Schrohe, Elmar
1997
Getzler rescaling via adiabatic deformation and a renormalized index formula. Zbl 1403.58008
Bohlen, Karsten; Schrohe, Elmar
2018
Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046
Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E.
2011
$$L^p$$ spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
1999
Mellin and Green symbols for boundary value problems on manifolds with edges. Zbl 0936.35211
Schrohe, Elmar; Schulze, B.-W.
1999
Functional calculus and Fredholm criteria for boundary value problems on noncompact manifolds. Zbl 0881.58068
Schrohe, Elmar
1992
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2019
Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. Zbl 1409.35122
Roidos, Nikolaos; Schrohe, Elmar
2018
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2018
Bounded $$H_\infty$$-calculus for cone differential operators. Zbl 06968631
Schrohe, E.; Seiler, J.
2018
A class of Fourier integral operators on manifolds with boundary. Zbl 1334.58015
Battisti, Ubertino; Coriasco, Sandro; Schrohe, Elmar
2015
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2015
Fourier integral operators and the index of symplectomorphisms on manifolds with boundary. Zbl 1327.35475
Battisti, Ubertino; Coriasco, Sandro; Schrohe, Elmar
2015
$$C^*$$-algebra approach to the index theory of boundary value problems. Zbl 1317.19011
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2012
$$H_\infty$$-calculus for hypoelliptic pseudodifferential operators. Zbl 1190.35232
Bilyj, Olesya; Schrohe, Elmar; Seiler, Jörg
2010
Traces on the cone algebra with asymptotics. Zbl 0881.58067
Schrohe, Elmar
1996
The noncommutative residue for manifolds with boundary. Zbl 0841.58060
Fedosov, Boris; Golse, François; Leichtnam, Éric; Schrohe, Elmar
1995
Boundary value problems, Schrödinger operators, deformation quantization. Zbl 0830.00010
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.)
1995
Submultiplicativity of Boutet de Monvel’s algebra for boundary value problems. Zbl 0823.46050
Gramsch, Bernhard; Schrohe, Elmar
1994
Pseudo-differential calculus and mathematical physics. Zbl 0797.00001
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.)
1994
Spectral flow of exterior Landau-Robin Hamiltonians. Zbl 1405.58005
Goffeng, Magnus; Schrohe, Elmar
2017
Index theory for boundary value problems via continuous fields of $$C^*$$-algebras. Zbl 1192.58013
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2009
$$K$$-theory of Boutet de Monvel’s algebra. Zbl 1065.19005
Melo, Severino T.; Nest, Ryszard; Schrohe, Elmar
2003
Characterization, spectral invariance and the Fredholm property of multi-quasi-elliptic operators. Zbl 1072.47521
Schrohe, E.; Boggiatto, P.
2001
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1999
Invariance of the $$L_p$$ spectrum for hypoelliptic operators. Zbl 0904.35063
Leopold, Hans-Gerd; Schrohe, Elmar
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1997
A characterization of the uniform transmission property for pseudodifferential operators. Zbl 0827.35146
Schrohe, Elmar
1994
A characterization of the singular Green operators in Boutet de Monvel’s calculus via wedge Sobolev spaces. Zbl 0798.35173
Schrohe, Elmar
1994
Potenzen elliptischer Pseudodifferentialoperatoren. (Powers of elliptic pseudodifferential operators). Zbl 0602.35119
Schrohe, Elmar
1986
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1425.53113
Savin, A.; Schrohe, E.; Sternin, B.
2019
Getzler rescaling via adiabatic deformation and a renormalized index formula. Zbl 1403.58008
Bohlen, Karsten; Schrohe, Elmar
2018
Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities. Zbl 1409.35122
Roidos, Nikolaos; Schrohe, Elmar
2018
Elliptic operators associated with groups of quantized canonical transformations. Zbl 1405.58004
Savin, Anton Yu.; Sternin, Boris Yu.; Schrohe, Elmar
2018
Bounded $$H_\infty$$-calculus for cone differential operators. Zbl 06968631
Schrohe, E.; Seiler, J.
2018
Spectral flow of exterior Landau-Robin Hamiltonians. Zbl 1405.58005
Goffeng, Magnus; Schrohe, Elmar
2017
Existence and maximal $$L^p$$-regularity of solutions for the porous medium equation on manifolds with conical singularities. Zbl 1353.58012
Roidos, Nikolaos; Schrohe, Elmar
2016
A class of Fourier integral operators on manifolds with boundary. Zbl 1334.58015
Battisti, Ubertino; Coriasco, Sandro; Schrohe, Elmar
2015
Uniformization and index of elliptic operators associated with diffeomorphisms of a manifold. Zbl 1329.58022
Savin, A.; Schrohe, E.; Sternin, B.
2015
Fourier integral operators and the index of symplectomorphisms on manifolds with boundary. Zbl 1327.35475
Battisti, Ubertino; Coriasco, Sandro; Schrohe, Elmar
2015
Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation. Zbl 1431.35219
Roidos, Nikolaos; Schrohe, Elmar
2014
Determinants of classical SG-pseudodifferential operators. Zbl 1304.47064
Maniccia, L.; Schrohe, E.; Seiler, J.
2014
The Cahn-Hilliard equation and the Allen-Cahn equation on manifolds with conical singularities. Zbl 1272.58013
Roidos, Nikolaos; Schrohe, Elmar
2013
Families index for Boutet de Monvel operators. Zbl 1302.46059
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2013
Spectral triples and the geometry of fractals. Zbl 1244.28010
Christensen, Erik; Ivan, Cristina; Schrohe, Elmar
2012
$$C^*$$-algebra approach to the index theory of boundary value problems. Zbl 1317.19011
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2012
Adaptive FE-BE coupling for strongly nonlinear transmission problems with Coulomb friction. Zbl 1428.74161
Gimperlein, Heiko; Maischak, Matthias; Schrohe, Elmar; Stephan, Ernst P.
2011
Index problem for elliptic operators associated with a diffeomorphism of a manifold and uniformization. Zbl 1248.47046
Savin, A. Yu.; Sternin, B. Yu.; Schrohe, E.
2011
Boutet de Monvel’s calculus and groupoids. I. Zbl 1216.58008
Aastrup, Johannes; Melo, Severino T.; Monthubert, Bertrand; Schrohe, Elmar
2010
$$H_\infty$$-calculus for hypoelliptic pseudodifferential operators. Zbl 1190.35232
Bilyj, Olesya; Schrohe, Elmar; Seiler, Jörg
2010
Index theory for boundary value problems via continuous fields of $$C^*$$-algebras. Zbl 1192.58013
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2009
Uniqueness of the Kontsevich-Vishik trace. Zbl 1132.58018
Maniccia, L.; Schrohe, E.; Seiler, J.
2008
Bounded $$H_{\infty}$$-calculus for differential operators on conic manifolds with boundary. Zbl 1116.58020
Coriasco, S.; Schrohe, E.; Seiler, J.
2007
Realizations of differential operators on conic manifolds with boundary. Zbl 1116.58019
Coriasco, S.; Schrohe, E.; Seiler, J.
2007
Complex powers of classical SG-pseudodifferential operators. Zbl 1147.58027
Maniccia, Lidia; Schrohe, Elmar; Seiler, Jörg
2006
A $$K$$-theoretic proof of Boutet de Monvel’s index theorem for boundary value problems. Zbl 1121.19001
Melo, Severino T.; Schick, Thomas; Schrohe, Elmar
2006
A continuous field of $$C^{*}$$-algebras and the tangent groupoid for manifolds with boundary. Zbl 1131.58017
Aastrup, Johannes; Nest, Ryszard; Schrohe, Elmar
2006
The resolvent of closed extensions of cone differential operators. Zbl 1096.35054
Schrohe, E.; Seiler, J.
2005
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
2004
Bounded imaginary powers of differential operators on manifolds with conical singularities. Zbl 1160.58305
Coriasco, S.; Schrohe, E.; Seiler, J.
2003
$$C^*$$-structure and K-theory of Boutet de Monvel’s algebra. Zbl 1043.19003
Melo, S. T.; Nest, R.; Schrohe, E.
2003
$$K$$-theory of Boutet de Monvel’s algebra. Zbl 1065.19005
Melo, Severino T.; Nest, Ryszard; Schrohe, Elmar
2003
Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties. Zbl 1038.81052
Junker, W.; Schrohe, E.
2002
Ellipticity and invertibility in the cone algebra on $$L_p$$-Sobolev spaces. Zbl 0992.58010
Schrohe, Elmar; Seiler, Jörg
2001
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
2001
A short introduction to Boutet de Monvel’s calculus. Zbl 0985.35122
Schrohe, Elmar
2001
Differential operators on conic manifolds: Maximal regularity and parabolic equations. Zbl 1010.58022
Coriasco, S.; Schrohe, E.; Seiler, J.
2001
Edge-degenerate boundary value problems on cones. Zbl 0972.35202
Schrohe, E.; Schulze, B.-W.
2001
Characterization, spectral invariance and the Fredholm property of multi-quasi-elliptic operators. Zbl 1072.47521
Schrohe, E.; Boggiatto, P.
2001
Fréchet algebra techniques for boundary value problems on noncompact manifolds: Fredholm criteria and functional calculus via spectral invariance. Zbl 0923.58054
Schrohe, Elmar
1999
Noncommutative residues, Dixmier’s trace, and heat trace expansions on manifolds with boundary. Zbl 0960.58013
Schrohe, Elmar
1999
$$L^p$$ spectral independence of elliptic operators via commutator estimates. Zbl 0930.35058
Hieber, Matthias; Schrohe, Elmar
1999
Mellin and Green symbols for boundary value problems on manifolds with edges. Zbl 0936.35211
Schrohe, Elmar; Schulze, B.-W.
1999
Evolution equations, Feshbach resonances, singular Hodge theory. Zbl 0918.00012
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1999
Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges. Zbl 0908.35148
Schrohe, E.; Schulze, B.-W.
1998
Construction of spectral triples starting from Fredholm modules. Zbl 0934.46062
Schrohe, Elmar; Walze, Markus; Warzecha, Jan-Martin
1998
Dixmier’s trace for boundary value problems. Zbl 0914.35158
Nest, Ryszard; Schrohe, Elmar
1998
A symbol algebra for pseudodifferential boundary value problems on manifolds with edges. Zbl 0882.35144
Schrohe, Elmar; Schulze, Bert-Wolfgang
1997
Noncommutative residues and manifolds with conical singularities. Zbl 0903.58057
Schrohe, Elmar
1997
Wodzicki’s noncommutative residue and traces for operator algebras on manifolds with conical singularities. Zbl 0883.58039
Schrohe, Elmar
1997
Invariance of the $$L_p$$ spectrum for hypoelliptic operators. Zbl 0904.35063
Leopold, Hans-Gerd; Schrohe, Elmar
1997
Spectral theory, microlocal analysis, singular manifolds. Zbl 0882.00015
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.); Sjöstrand, Johannes (ed.)
1997
The noncommutative residue for manifolds with boundary. Zbl 0877.58005
Fedosov, Boris V.; Golse, François; Leichtnam, Eric; Schrohe, Elmar
1996
Trace theorems for Sobolev spaces of variable order of differentiation. Zbl 0854.46030
Leopold, Hans-Gerd; Schrohe, Elmar
1996
Traces on the cone algebra with asymptotics. Zbl 0881.58067
Schrohe, Elmar
1996
Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities. II. Zbl 0847.35156
Schrohe, Elmar; Schulze, Bert-Wolfgang
1995
The noncommutative residue for manifolds with boundary. Zbl 0841.58060
Fedosov, Boris; Golse, François; Leichtnam, Éric; Schrohe, Elmar
1995
Boundary value problems, Schrödinger operators, deformation quantization. Zbl 0830.00010
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.)
1995
Boundary value problems in Boutet de Monvel’s algebra for manifolds with conical singularities. I. Zbl 0827.35145
Schrohe, Elmar; Schulze, Bert-Wolfgang
1994
Submultiplicativity of Boutet de Monvel’s algebra for boundary value problems. Zbl 0823.46050
Gramsch, Bernhard; Schrohe, Elmar
1994
Pseudo-differential calculus and mathematical physics. Zbl 0797.00001
Demuth, Michael (ed.); Schrohe, Elmar (ed.); Schulze, Bert-Wolfgang (ed.)
1994
A characterization of the uniform transmission property for pseudodifferential operators. Zbl 0827.35146
Schrohe, Elmar
1994
A characterization of the singular Green operators in Boutet de Monvel’s calculus via wedge Sobolev spaces. Zbl 0798.35173
Schrohe, Elmar
1994
Spectral invariance for algebras of pseudodifferential operators on Besov-Triebel-Lizorkin spaces. Zbl 0791.35161
Leopold, Hans-Gerd; Schrohe, Elmar
1993
Normal solvability of elliptic boundary value problems on asymptotically flat manifolds. Zbl 0772.58059
Erkip, Albert K.; Schrohe, Elmar
1992
Spectral invariance, ellipticity, and the Fredholm property for pseudodifferential operators on weighted Sobolev spaces. Zbl 0788.47046
Schrohe, Elmar
1992
Spectral invariance for algebras of pseudodifferential operators on Besov spaces of variable order of differentiation. Zbl 0765.46017
Leopold, Hans-Gerd; Schrohe, Elmar
1992
Functional calculus and Fredholm criteria for boundary value problems on noncompact manifolds. Zbl 0881.58068
Schrohe, Elmar
1992
Boundedness and spectral invariance for standard pseudodifferential operators on anisotropically weighted $$L^ p$$-Sobolev spaces. Zbl 0703.35186
Schrohe, Elmar
1990
Complex powers on noncompact manifolds and manifolds with singularities. Zbl 0627.35090
Schrohe, Elmar
1988
A $$\psi ^ *$$ algebra of pseudodifferential operators on noncompact manifolds. Zbl 0631.47035
Schrohe, Elmar
1988
Spaces of weighted symbols and weighted Sobolev spaces on manifolds. Zbl 0638.58026
Schrohe, Elmar
1987
Complex powers of elliptic pseudodifferential operators. Zbl 0597.35123
Schrohe, Elmar
1986
The symbols of an algebra of pseudo-differential operators. Zbl 0575.47034
Schrohe, Elmar
1986
Potenzen elliptischer Pseudodifferentialoperatoren. (Powers of elliptic pseudodifferential operators). Zbl 0602.35119
Schrohe, Elmar
1986
On the symbol homomorphism of a certain Fréchet algebra of singular integral operators. Zbl 0578.47035
Cordes, Heinz-Otto; Schrohe, Elmar
1985
all top 5

#### Cited by 303 Authors

 38 Schrohe, Elmar 23 Schulze, Bert-Wolfgang 19 Nistor, Victor 16 Seiler, Jörg 13 Wang, Yong 10 Roidos, Nikolaos 10 Savin, Anton Yur’evich 10 Wang, Jian 9 Chen, Hua 9 Liu, Xiaochun 8 Alimohammady, Mohsen 8 Coriasco, Sandro 8 Loya, Paul A. 7 Grubb, Gerd 7 Pinamonti, Nicola 7 Rabinovich, Vladimir Samuilovich 7 Wei, Yawei 6 Cappiello, Marco 6 Dappiaggi, Claudio 6 Kalleji, Morteza Koozehgar 6 Lauter, Robert 6 Melo, Severino Toscano 6 Sternin, Boris Yur’evich 5 Maniccia, Lidia 5 Nicola, Fabio 5 Qiao, Yu 5 Tarkhanov, Nikolai N. 4 Abels, Helmut 4 Ammann, Bernd Eberhard 4 Battisti, Ubertino 4 Bohlen, Karsten 4 Campos de Carvalho, Catarina 4 Gérard, Christian 4 Hack, Thomas-Paul 4 Jafari, Ali Asghar 4 Krainer, Thomas 4 Leopold, Hans-Gerd 4 Lopes, Pedro T. P. 4 Shao, Yuanzhen 4 Wrochna, Michał 3 Aastrup, Johannes 3 Ascanelli, Alessia 3 Bao, Kaihua 3 Debord, Claire 3 Denk, Robert 3 Dines, Nicoleta 3 Kapanadze, David 3 Lesch, Matthias 3 Levy, Cyril 3 Neira Jiménez, Carolina 3 Park, Jinsung 3 Ponge, Raphaël S. 3 Rodino, Luigi 3 Skandalis, Georges 3 Sukochev, Fedor Anatol’evich 3 Sun, Aihui 3 Verch, Rainer 3 Vertman, Boris 3 Wunsch, Jared 3 Yang, Dachun 3 Yuan, Wen 3 Zhuo, Ciqiang 2 Arsenović, Miloš 2 Bacuta, Constantin 2 Borsero, Massimo 2 Carrillo-Rouse, Paulo 2 Chang, Der-Chen E. 2 Cipriani, Fabio 2 Doll, Moritz 2 Drihem, Douadi 2 Engliš, Miroslav 2 Escher, Joachim 2 Fahrenwaldt, Matthias Albrecht 2 Fan, Haining 2 Farsi, Carla 2 Fathizadeh, Farzad 2 Fewster, Christopher John 2 Fischer, Véronique 2 Fröb, Markus B. 2 Gil, Juan B. 2 Gillaspy, Elizabeth 2 Gimperlein, Heiko 2 Goffeng, Magnus 2 Gramsch, Bernhard 2 Hollands, Stefan 2 Iochum, Bruno 2 Julien, Antoine 2 Kaballo, Winfried 2 Kang, Sooran 2 Kirsten, Klaus 2 Li, Hengguang 2 Lyu, Xiaojing 2 Mantlik, Frank 2 Martinetti, Pierre 2 Monthubert, Bertrand 2 Moretti, Valter 2 Moroianu, Sergiu 2 Nazaikinskii, Vladimir E. 2 Nest, Ryszard 2 Ouedraogo, Marie Françoise ...and 203 more Authors
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#### Cited in 98 Serials

 28 Journal of Functional Analysis 21 Journal of Pseudo-Differential Operators and Applications 15 Integral Equations and Operator Theory 15 Mathematische Nachrichten 13 Journal of Mathematical Physics 13 Communications in Partial Differential Equations 12 Communications in Mathematical Physics 12 Journal of Differential Equations 11 Journal of Geometry and Physics 11 Annals of Global Analysis and Geometry 10 Journal of Mathematical Analysis and Applications 8 Advances in Mathematics 7 Proceedings of the American Mathematical Society 6 Annales Henri Poincaré 5 Manuscripta Mathematica 5 Transactions of the American Mathematical Society 5 International Journal of Geometric Methods in Modern Physics 4 Journal d’Analyse Mathématique 4 Letters in Mathematical Physics 4 Reviews in Mathematical Physics 4 Mathematische Zeitschrift 4 Russian Journal of Mathematical Physics 4 Journal of Evolution Equations 4 Journal of Noncommutative Geometry 3 Applicable Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational and Applied Mathematics 3 Monatshefte für Mathematik 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Bulletin des Sciences Mathématiques 3 Abstract and Applied Analysis 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Complex Analysis and Operator Theory 2 International Journal of Modern Physics A 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Annalen 2 Numerische Mathematik 2 The Journal of Geometric Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 The Journal of Fourier Analysis and Applications 2 Doklady Mathematics 2 Acta Mathematica Sinica. English Series 2 Complex Variables and Elliptic Equations 2 Advances in Mathematical Physics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Physics Reports 1 Transport Theory and Statistical Physics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Collectanea Mathematica 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Transactions of the Moscow Mathematical Society 1 $$K$$-Theory 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 The Journal of Analysis 1 Georgian Mathematical Journal 1 Electronic Research Announcements of the American Mathematical Society 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Taiwanese Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of Hyperbolic Differential Equations 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Mathematical Analysis 1 Banach Journal of Mathematical Analysis 1 Asian-European Journal of Mathematics 1 Journal of $$K$$-Theory 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal 1 Axioms 1 Evolution Equations and Control Theory 1 Advances in Operator Theory
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#### Cited in 35 Fields

 189 Partial differential equations (35-XX) 182 Global analysis, analysis on manifolds (58-XX) 109 Operator theory (47-XX) 87 Functional analysis (46-XX) 43 Quantum theory (81-XX) 33 Differential geometry (53-XX) 24 Relativity and gravitational theory (83-XX) 15 $$K$$-theory (19-XX) 10 Topological groups, Lie groups (22-XX) 10 Numerical analysis (65-XX) 7 Potential theory (31-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of deformable solids (74-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)