## Grubb, Gerd

Compute Distance To:
 Author ID: grubb.gerd Published as: Grubb, Gerd; Grubb, G. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 117 Publications since 1968, including 3 Books 1 Contribution as Editor Co-Authors: 25 Co-Authors with 26 Joint Publications 777 Co-Co-Authors
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### Co-Authors

 91 single-authored 7 Solonnikov, Vsevolod Alekseevich 3 Geymonat, Giuseppe 3 Seeley, Robert Thomas 2 Kokholm, Niels Jørgen 2 Schrohe, Elmar 2 Wood, Ian Geoffrey 1 Abels, Helmut 1 Atiyah, Michael Francis 1 Behrndt, Jussi 1 Boman, Jan 1 Bony, Jean-Michel 1 Booss-Bavnbek, Bernhelm 1 Broström, Sofia 1 Brown, B. Malcolm 1 Demailly, Jean-Pierre 1 Gaarde, Anders 1 Gilkey, Peter B. 1 Gimperlein, Heiko 1 Helgason, Sigurdur 1 Hörmander, Lars Valter 1 Kiselman, Christer Oscar 1 Langer, Matthias 1 Lerner, Nicolas 1 Lotoreichik, Vladimir 1 Sigurðsson, Ragnar 1 Trèves, François 1 Wojciechowski, Krzysztof P.
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### Serials

 9 Communications in Partial Differential Equations 7 Comptes Rendus de l’Académie des Sciences. Série I 7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 6 Mathematica Scandinavica 4 Journal of Mathematical Analysis and Applications 4 Journal of Functional Analysis 3 Journal of Differential Equations 2 Communications in Mathematical Physics 2 Annales de l’Institut Fourier 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Bollettino della Unione Matematica Italiana. Series V. B 2 Bulletin of the American Mathematical Society 2 Progress in Mathematics 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Journal of Spectral Theory 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Arkiv för Matematik 1 Acta Mathematica 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Journal of Operator Theory 1 Annals of Global Analysis and Geometry 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Séminaire Équations aux Dérivées Partielles 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Contemporary Mathematics 1 Graduate Texts in Mathematics 1 Analysis & PDE 1 Mathematics in Engineering
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### Fields

 100 Partial differential equations (35-XX) 39 Global analysis, analysis on manifolds (58-XX) 37 Operator theory (47-XX) 11 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 3 Probability theory and stochastic processes (60-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX)

### Citations contained in zbMATH Open

93 Publications have been cited 1,391 times in 774 Documents Cited by Year
Fractional Laplacians on domains, a development of Hörmander’s theory of $$\mu$$-transmission pseudodifferential operators. Zbl 1318.47064
Grubb, Gerd
2015
Distributions and operators. Zbl 1171.47001
Grubb, Gerd
2009
Functional calculus of pseudodifferential boundary problems. 2nd ed. Zbl 0844.35002
Grubb, Gerd
1996
A characterization of the non-local boundary value problems associated with an elliptic operator. Zbl 0182.14501
Grubb, G.
1968
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Zbl 0851.58043
Grubb, Gerd; Seeley, Robert T.
1995
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034
Grubb, Gerd; Solonnikov, Vsevolod A.
1991
Functional calculus of pseudo-differential boundary problems. Zbl 0622.35001
Grubb, Gerd
1986
Pseudo-differential boundary problems in $$L_ p$$ spaces. Zbl 0723.35091
Grubb, Gerd
1990
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
$$M$$-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Zbl 1167.47057
Brown, B. M.; Grubb, G.; Wood, I. G.
2009
A global calculus of parameter-dependent pseudodifferential boundary problems in $$L_ p$$ Sobolev spaces. Zbl 0811.35176
Grubb, Gerd; Kokholm, Niels Jørgen
1993
Zeta and eta functions for Atiyah-Patodi-Singer operators. Zbl 0858.58050
Grubb, Gerd; Seeley, Robert T.
1996
Regularity of spectral fractional Dirichlet and Neumann problems. Zbl 1448.47062
Grubb, Gerd
2016
The essential spectrum of elliptic systems of mixed order. Zbl 0361.35050
Grubb, Gerd; Geymonat, Giuseppe
1977
Singular Green operators and their spectral asymptotics. Zbl 0553.58034
Grubb, Gerd
1984
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Zbl 1021.35046
Grubb, Gerd
1999
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
2001
Spectral asymptotics for the ”soft” selfadjoint extension of a symmetric elliptic differential operator. Zbl 0559.47035
Grubb, Gerd
1983
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains. Zbl 1206.35090
Grubb, G.
2008
Parameter-elliptic and parabolic pseudodifferential boundary problems in global $$L_ p$$ Sobolev spaces. Zbl 0877.35142
Grubb, Gerd
1995
On coerciveness and semiboundedness of general boundary problems. Zbl 0231.35027
Grubb, Gerd
1971
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
2014
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity $$L_p$$ Sobolev spaces. Zbl 0992.35065
Grubb, Gerd
2001
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Zbl 1432.35107
Gimperlein, Heiko; Grubb, Gerd
2014
Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109
Grubb, Gerd; Solonnikov, Vsevolod A.
1990
Properties of normal boundary problems for elliptic even-order systems. Zbl 0309.35034
Grubb, Gerd
1975
Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems. Zbl 0773.58025
Grubb, Gerd
1992
Spectral results for mixed problems and fractional elliptic operators. Zbl 1302.35279
Grubb, Gerd
2015
A resolvent approach to traces and zeta Laurent expansions. Zbl 1073.58021
Grubb, Gerd
2005
The transmission property. Zbl 0766.35088
Grubb, Gerd; Hörmander, Lars
1990
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
2011
Boundary problems for systems of partial differential operators of mixed order. Zbl 0368.35030
Grubb, Gerd
1977
Spectral asymptotics for nonsmooth singular Green operators. Zbl 1290.35057
Grubb, Gerd
2014
Les problèmes aux limites généraux d’un opérateur elliptique, provenant de la théorie variationnelle. Zbl 0201.46502
Grubb, G.
1970
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
2004
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates. Zbl 1223.47050
Grubb, Gerd
2011
Integration by parts and Pohozaev identities for space-dependent fractional-order operators. Zbl 1375.35600
Grubb, Gerd
2016
Weakly semi-bounded boundary problems and sesquilinear forms. Zbl 0261.35011
Grubb, Gerd
1973
Spectral boundary conditions for generalizations of Laplace and Dirac operators. Zbl 1039.58027
Grubb, Gerd
2003
Regularity in $$L_{p}$$ Sobolev spaces of solutions to fractional heat equations. Zbl 1396.35022
Grubb, Gerd
2018
Fractional-order operators: boundary problems, heat equations. Zbl 1414.35099
Grubb, Gerd
2018
Spectral asymptotics for Douglis-Nirenberg elliptic and pseudo- differential boundary problems. Zbl 0381.35034
Grubb, Gerd
1978
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
1998
The local and global parts of the basic zeta coefficient for operators on manifolds with boundary. Zbl 1147.58028
Grubb, Gerd
2008
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
Perturbation of essential spectra of exterior elliptic problems. Zbl 1208.35094
Grubb, Gerd
2011
Kreĭn-like extensions and the lower boundedness problem for elliptic operators. Zbl 1242.47041
Grubb, Gerd
2012
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem. Zbl 0976.58018
Grubb, G.
2001
Complex powers of resolvents of pseudodifferential operators. Zbl 1129.58304
Grubb, Gerd; Hansen, Lars
2002
Known and unknown results on elliptic boundary problems. Zbl 1159.35004
Grubb, Gerd
2006
Nonhomogeneous time-dependent Navier-Stokes problems in $$L_ p$$ Sobolev spaces. Zbl 0831.35126
Grubb, Gerd
1995
Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems. Zbl 0407.35075
Grubb, Gerd
1978
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators. Zbl 1409.35216
Grubb, Gerd
2018
A weakly polyhomogeneous calculus for pseudodifferential boundary problems. Zbl 0998.58017
Grubb, Gerd
2001
Remarks on trace estimates for exterior boundary problems. Zbl 0553.35022
Grubb, Gerd
1984
The sectorial projection defined from logarithms. Zbl 1270.58016
Grubb, Gerd
2012
On the logarithm component in trace defect formulas. Zbl 1087.35100
Grubb, Gerd
2005
Limited regularity of solutions to fractional heat and Schrödinger equations. Zbl 1415.35142
Grubb, Gerd
2019
Logarithms and sectorial projections for elliptic boundary problems. Zbl 1189.35347
Gaarde, Anders; Grubb, Gerd
2008
Estimation du reste dans l’étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints. Zbl 0399.58019
Grubb, Gerd
1978
Reduction of basic initial-boundary value problems for the Stokes equations to initial-boundary value problems for parabolic systems of pseudodifferential equations. Zbl 0655.35065
Grubb, Gerd; Solonnikov, V. A.
1987
Parabolic pseudo-differential boundary problems and applications. Zbl 0763.35116
Grubb, Gerd
1991
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
2012
Initial value problems for the Navier-Stokes equations with Neumann conditions. Zbl 0781.35051
Grubb, Gerd
1992
Nonhomogeneous Navier-Stokes problems in $$L_p$$ Sobolev spaces over exterior and interior domains. Zbl 0934.35119
Grubb, G.
1998
Integration by parts for nonsymmetric fractional-order operators on a halfspace. Zbl 1473.35629
Grubb, Gerd
2021
Asymptotic expansions for the Atiyah-Patodi-Singer operator. (Développements asymptotiques pour l’opérateur d’Atiyah-Patodi-Singer.) Zbl 0813.58059
Grubb, Gerd; Seeley, Robert T.
1993
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
1979
Parametrized pseudodifferential operators and geometric invariants. Zbl 0873.35116
Grubb, Gerd
1997
Problèmes aux limites semi-bornes pour les systèmes elliptiques. Zbl 0243.35032
Grubb, Gerd
1972
Inequalities for boundary value problems for systems of partial differential operators. Zbl 0267.35026
Grubb, Gerd
1973
Spectral theory for boundary value problems for elliptic systems of mixed order. Zbl 0301.35071
Geymonat, Giuseppe; Grubb, Gerd
1974
Analysis of invariants associated with spectral boundary problems for elliptic operators. Zbl 1077.58014
Grubb, Gerd
2005
Une condition necessaire et suffisante pour la m-coercivite des problèmes aux limites elliptiques. Zbl 0192.49301
Grubb, G.
1970
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. Zbl 1048.35095
Grubb, Gerd
2003
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
1979
Reduction of the basic initial-boundary value problems for the Navier- Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations. Zbl 0729.35102
Grubb, G.; Solonnikov, V. A.
1991
Problèmes aux limites pseudodifférentiels dependant d’un paramètre. Zbl 0492.35079
Grubb, Gerd
1981
A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation. Zbl 0675.76028
Grubb, Gerd; Solonnikov, Vsevolod A.
1988
Exact Green’s formula for the fractional Laplacian and perturbations. Zbl 1453.35051
Grubb, Gerd
2020
Trace defect formulas and zeta values for boundary problems. Zbl 1154.35103
Grubb, Gerd
2008
Pseudodifferential boundary problems and applications. Zbl 0873.35117
Grubb, G.
1997
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1981
Le spectre négatif des problèmes aux limites auto-adjoints fortement elliptiques. (The negative spectrum of strongly elliptic selfadjoint boundary value problems). Zbl 0234.35075
Grubb, Gerd
1972
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
1972
Coerciveness of the normal boundary problems for an elliptic operator. Zbl 0188.16902
Grubb, G.
1970
Complex powers of pseudo-differential boundary value problems with the transmission property. Zbl 0623.47068
Grubb, Gerd
1987
Comportement asymptotique du spectre des opérateurs de Green singuliers. Zbl 0553.35066
Grubb, Gerd
1983
Une méthode pseudo-différentielle pour les perturbations singulières elliptiques. (A pseudo-differential method for elliptic singular perturbation problems). Zbl 0595.35045
Grubb, Gerd
1985
Remarks on nonlocal trace expansion coefficients. Zbl 1119.58019
Grubb, Gerd
2006
Reduction of basic initial-boundary value problems for Navier-Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudo-differential equations. Zbl 0717.35069
Grubb, G.; Solonnikov, V. A.
1989
Solution dans les espaces de Sobolev $$L_ p$$ anisotropes des problèmes aux limites pseudo-différentiels paraboliques et des problèmes de Stokes. (Solution in anisotropic $$L_ p$$ Sobolev spaces of parabolic pseudo-differential boundary value problems and Stokes problems). Zbl 0723.35093
Grubb, Gerd
1991
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1981
Integration by parts for nonsymmetric fractional-order operators on a halfspace. Zbl 1473.35629
Grubb, Gerd
2021
Exact Green’s formula for the fractional Laplacian and perturbations. Zbl 1453.35051
Grubb, Gerd
2020
Limited regularity of solutions to fractional heat and Schrödinger equations. Zbl 1415.35142
Grubb, Gerd
2019
Regularity in $$L_{p}$$ Sobolev spaces of solutions to fractional heat equations. Zbl 1396.35022
Grubb, Gerd
2018
Fractional-order operators: boundary problems, heat equations. Zbl 1414.35099
Grubb, Gerd
2018
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators. Zbl 1409.35216
Grubb, Gerd
2018
Regularity of spectral fractional Dirichlet and Neumann problems. Zbl 1448.47062
Grubb, Gerd
2016
Integration by parts and Pohozaev identities for space-dependent fractional-order operators. Zbl 1375.35600
Grubb, Gerd
2016
Fractional Laplacians on domains, a development of Hörmander’s theory of $$\mu$$-transmission pseudodifferential operators. Zbl 1318.47064
Grubb, Gerd
2015
Spectral results for mixed problems and fractional elliptic operators. Zbl 1302.35279
Grubb, Gerd
2015
Spectral asymptotics for resolvent differences of elliptic operators with $$\delta$$ and $$\delta^{'}$$-interactions on hypersurfaces. Zbl 1353.47090
Behrndt, Jussi; Grubb, Gerd; Langer, Matthias; Lotoreichik, Vladimir
2015
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
2014
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Zbl 1432.35107
Gimperlein, Heiko; Grubb, Gerd
2014
Spectral asymptotics for nonsmooth singular Green operators. Zbl 1290.35057
Grubb, Gerd
2014
Kreĭn-like extensions and the lower boundedness problem for elliptic operators. Zbl 1242.47041
Grubb, Gerd
2012
The sectorial projection defined from logarithms. Zbl 1270.58016
Grubb, Gerd
2012
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
2012
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
2011
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates. Zbl 1223.47050
Grubb, Gerd
2011
Perturbation of essential spectra of exterior elliptic problems. Zbl 1208.35094
Grubb, Gerd
2011
Distributions and operators. Zbl 1171.47001
Grubb, Gerd
2009
$$M$$-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems. Zbl 1167.47057
Brown, B. M.; Grubb, G.; Wood, I. G.
2009
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains. Zbl 1206.35090
Grubb, G.
2008
The local and global parts of the basic zeta coefficient for operators on manifolds with boundary. Zbl 1147.58028
Grubb, Gerd
2008
Logarithms and sectorial projections for elliptic boundary problems. Zbl 1189.35347
Gaarde, Anders; Grubb, Gerd
2008
Trace defect formulas and zeta values for boundary problems. Zbl 1154.35103
Grubb, Gerd
2008
Known and unknown results on elliptic boundary problems. Zbl 1159.35004
Grubb, Gerd
2006
Remarks on nonlocal trace expansion coefficients. Zbl 1119.58019
Grubb, Gerd
2006
A resolvent approach to traces and zeta Laurent expansions. Zbl 1073.58021
Grubb, Gerd
2005
On the logarithm component in trace defect formulas. Zbl 1087.35100
Grubb, Gerd
2005
Analysis of invariants associated with spectral boundary problems for elliptic operators. Zbl 1077.58014
Grubb, Gerd
2005
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
2004
Spectral boundary conditions for generalizations of Laplace and Dirac operators. Zbl 1039.58027
Grubb, Gerd
2003
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. Zbl 1048.35095
Grubb, Gerd
2003
Complex powers of resolvents of pseudodifferential operators. Zbl 1129.58304
Grubb, Gerd; Hansen, Lars
2002
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
2001
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity $$L_p$$ Sobolev spaces. Zbl 0992.35065
Grubb, Gerd
2001
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem. Zbl 0976.58018
Grubb, G.
2001
A weakly polyhomogeneous calculus for pseudodifferential boundary problems. Zbl 0998.58017
Grubb, Gerd
2001
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Zbl 1021.35046
Grubb, Gerd
1999
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
1998
Nonhomogeneous Navier-Stokes problems in $$L_p$$ Sobolev spaces over exterior and interior domains. Zbl 0934.35119
Grubb, G.
1998
Parametrized pseudodifferential operators and geometric invariants. Zbl 0873.35116
Grubb, Gerd
1997
Pseudodifferential boundary problems and applications. Zbl 0873.35117
Grubb, G.
1997
Functional calculus of pseudodifferential boundary problems. 2nd ed. Zbl 0844.35002
Grubb, Gerd
1996
Zeta and eta functions for Atiyah-Patodi-Singer operators. Zbl 0858.58050
Grubb, Gerd; Seeley, Robert T.
1996
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Zbl 0851.58043
Grubb, Gerd; Seeley, Robert T.
1995
Parameter-elliptic and parabolic pseudodifferential boundary problems in global $$L_ p$$ Sobolev spaces. Zbl 0877.35142
Grubb, Gerd
1995
Nonhomogeneous time-dependent Navier-Stokes problems in $$L_ p$$ Sobolev spaces. Zbl 0831.35126
Grubb, Gerd
1995
A global calculus of parameter-dependent pseudodifferential boundary problems in $$L_ p$$ Sobolev spaces. Zbl 0811.35176
Grubb, Gerd; Kokholm, Niels Jørgen
1993
Asymptotic expansions for the Atiyah-Patodi-Singer operator. (Développements asymptotiques pour l’opérateur d’Atiyah-Patodi-Singer.) Zbl 0813.58059
Grubb, Gerd; Seeley, Robert T.
1993
Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems. Zbl 0773.58025
Grubb, Gerd
1992
Initial value problems for the Navier-Stokes equations with Neumann conditions. Zbl 0781.35051
Grubb, Gerd
1992
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034
Grubb, Gerd; Solonnikov, Vsevolod A.
1991
Parabolic pseudo-differential boundary problems and applications. Zbl 0763.35116
Grubb, Gerd
1991
Reduction of the basic initial-boundary value problems for the Navier- Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations. Zbl 0729.35102
Grubb, G.; Solonnikov, V. A.
1991
Solution dans les espaces de Sobolev $$L_ p$$ anisotropes des problèmes aux limites pseudo-différentiels paraboliques et des problèmes de Stokes. (Solution in anisotropic $$L_ p$$ Sobolev spaces of parabolic pseudo-differential boundary value problems and Stokes problems). Zbl 0723.35093
Grubb, Gerd
1991
Pseudo-differential boundary problems in $$L_ p$$ spaces. Zbl 0723.35091
Grubb, Gerd
1990
Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109
Grubb, Gerd; Solonnikov, Vsevolod A.
1990
The transmission property. Zbl 0766.35088
Grubb, Gerd; Hörmander, Lars
1990
Reduction of basic initial-boundary value problems for Navier-Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudo-differential equations. Zbl 0717.35069
Grubb, G.; Solonnikov, V. A.
1989
A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation. Zbl 0675.76028
Grubb, Gerd; Solonnikov, Vsevolod A.
1988
Reduction of basic initial-boundary value problems for the Stokes equations to initial-boundary value problems for parabolic systems of pseudodifferential equations. Zbl 0655.35065
Grubb, Gerd; Solonnikov, V. A.
1987
Complex powers of pseudo-differential boundary value problems with the transmission property. Zbl 0623.47068
Grubb, Gerd
1987
Functional calculus of pseudo-differential boundary problems. Zbl 0622.35001
Grubb, Gerd
1986
Une méthode pseudo-différentielle pour les perturbations singulières elliptiques. (A pseudo-differential method for elliptic singular perturbation problems). Zbl 0595.35045
Grubb, Gerd
1985
Singular Green operators and their spectral asymptotics. Zbl 0553.58034
Grubb, Gerd
1984
Remarks on trace estimates for exterior boundary problems. Zbl 0553.35022
Grubb, Gerd
1984
Spectral asymptotics for the ”soft” selfadjoint extension of a symmetric elliptic differential operator. Zbl 0559.47035
Grubb, Gerd
1983
Comportement asymptotique du spectre des opérateurs de Green singuliers. Zbl 0553.35066
Grubb, Gerd
1983
Problèmes aux limites pseudodifférentiels dependant d’un paramètre. Zbl 0492.35079
Grubb, Gerd
1981
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1981
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1981
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
1979
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
1979
Spectral asymptotics for Douglis-Nirenberg elliptic and pseudo- differential boundary problems. Zbl 0381.35034
Grubb, Gerd
1978
Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems. Zbl 0407.35075
Grubb, Gerd
1978
Estimation du reste dans l’étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints. Zbl 0399.58019
Grubb, Gerd
1978
The essential spectrum of elliptic systems of mixed order. Zbl 0361.35050
Grubb, Gerd; Geymonat, Giuseppe
1977
Boundary problems for systems of partial differential operators of mixed order. Zbl 0368.35030
Grubb, Gerd
1977
Properties of normal boundary problems for elliptic even-order systems. Zbl 0309.35034
Grubb, Gerd
1975
Spectral theory for boundary value problems for elliptic systems of mixed order. Zbl 0301.35071
Geymonat, Giuseppe; Grubb, Gerd
1974
Weakly semi-bounded boundary problems and sesquilinear forms. Zbl 0261.35011
Grubb, Gerd
1973
Inequalities for boundary value problems for systems of partial differential operators. Zbl 0267.35026
Grubb, Gerd
1973
Problèmes aux limites semi-bornes pour les systèmes elliptiques. Zbl 0243.35032
Grubb, Gerd
1972
Le spectre négatif des problèmes aux limites auto-adjoints fortement elliptiques. (The negative spectrum of strongly elliptic selfadjoint boundary value problems). Zbl 0234.35075
Grubb, Gerd
1972
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
1972
On coerciveness and semiboundedness of general boundary problems. Zbl 0231.35027
Grubb, Gerd
1971
Les problèmes aux limites généraux d’un opérateur elliptique, provenant de la théorie variationnelle. Zbl 0201.46502
Grubb, G.
1970
Une condition necessaire et suffisante pour la m-coercivite des problèmes aux limites elliptiques. Zbl 0192.49301
Grubb, G.
1970
Coerciveness of the normal boundary problems for an elliptic operator. Zbl 0188.16902
Grubb, G.
1970
A characterization of the non-local boundary value problems associated with an elliptic operator. Zbl 0182.14501
Grubb, G.
1968
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### Cited by 814 Authors

 46 Grubb, Gerd 20 Behrndt, Jussi 19 Schulze, Bert-Wolfgang 18 Schrohe, Elmar 14 Loya, Paul A. 12 Malamud, Mark M. 12 Ros-Oton, Xavier 12 Warma, Mahamadi 11 Abels, Helmut 11 Seiler, Jörg 10 Gesztesy, Fritz 10 Lesch, Matthias 10 Mitrea, Marius 10 Raymond, Jean-Pierre 9 Abatangelo, Nicola 9 Kirsten, Klaus 9 Lee, Yoonweon 9 Natroshvili, David 8 Antil, Harbir 8 Borthagaray, Juan Pablo 8 Johnsen, Jon 8 Lotoreichik, Vladimir 8 Neidhardt, Hagen 8 Rohleder, Jonathan 8 Solonnikov, Vsevolod Alekseevich 7 Dipierro, Serena 7 Faierman, Melvin 7 Geymonat, Giuseppe 7 Jarohs, Sven 7 Kozhevnikov, Alexander 7 Michelangeli, Alessandro 7 Park, Jinsung 7 Scott, Simon G. 7 Uhlmann, Gunther Alberto 7 Wang, Yong 7 Wood, Ian Geoffrey 6 Coriasco, Sandro 6 Denk, Robert 6 Fall, Mouhamed Moustapha 6 Gimperlein, Heiko 6 Liu, Genqian 6 Rüland, Angkana 6 Saldaña, Alberto 6 Valdinoci, Enrico 5 Acosta, Gabriel 5 Amann, Herbert 5 Booss-Bavnbek, Bernhelm 5 Brown, B. Malcolm 5 Fahrenwaldt, Matthias Albrecht 5 Gallone, Matteo 5 Ghosh, Tuhin 5 Gilkey, Peter B. 5 Krupchyk, Katsiaryna 5 Langer, Matthias 5 Posilicano, Andrea 5 Rabinovich, Vladimir Samuilovich 5 Seeley, Robert Thomas 5 Serra Montolí, Joaquim 5 ter Elst, Antonius Frederik Maria 5 Wang, Jian 5 Zakora, Dmitriĭ Aleksandrovich 4 Battisti, Ubertino 4 Chang, Tongkeun 4 Dappiaggi, Claudio 4 Fernández-Real, Xavier 4 Fischbacher, Christoph 4 Goffeng, Magnus 4 Huang, Rung-Tzung 4 Iochum, Bruno 4 Jin, Bumja 4 Krainer, Thomas 4 Levendorskiĭ, Sergeĭ Zakharovich 4 Naboko, Serguei N. 4 Nistor, Victor 4 Otárola, Enrique 4 Ponge, Raphaël S. 4 Salo, Mikko 4 Shibata, Yoshihiro 4 Sire, Yannick 4 Zhu, Chaofeng 3 Ainsworth, Mark 3 Ashbaugh, Mark S. 3 Bersetche, Francisco M. 3 Biccari, Umberto 3 Bonforte, Matteo 3 Brüning, Jochen 3 Buchukuri, Tengiz 3 Burkovska, Olena 3 Cardona, Duván 3 Chang, Der-Chen E. 3 Chen, Guoyuan 3 Del Corral, César 3 D’Elia, Marta 3 Dias, Nuno Costa 3 Duduchava, Roland 3 Evans, William Desmond 3 Farwig, Reinhard 3 Glusa, Christian 3 Hieber, Matthias 3 Kamocki, Rafal ...and 714 more Authors
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### Cited in 197 Serials

 40 Journal of Functional Analysis 31 Journal of Differential Equations 30 Integral Equations and Operator Theory 26 Communications in Partial Differential Equations 25 Journal of Mathematical Analysis and Applications 22 Mathematische Nachrichten 18 Advances in Mathematics 15 Journal of Pseudo-Differential Operators and Applications 14 Journal of Geometry and Physics 14 Journal of Mathematical Sciences (New York) 12 Communications in Mathematical Physics 12 Journal of Mathematical Physics 11 Mathematische Annalen 11 Transactions of the American Mathematical Society 11 The Journal of Geometric Analysis 10 Annals of Global Analysis and Geometry 9 Archive for Rational Mechanics and Analysis 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 SIAM Journal on Numerical Analysis 9 Journal of Evolution Equations 8 Applicable Analysis 8 Journal d’Analyse Mathématique 8 Proceedings of the American Mathematical Society 8 Calculus of Variations and Partial Differential Equations 7 Reviews in Mathematical Physics 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Discrete and Continuous Dynamical Systems 6 Letters in Mathematical Physics 6 Mathematical Methods in the Applied Sciences 6 Duke Mathematical Journal 6 Journal of Soviet Mathematics 6 Mathematische Zeitschrift 6 Russian Journal of Mathematical Physics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Complex Analysis and Operator Theory 6 Journal of Spectral Theory 5 Journal of Computational Physics 5 Mathematical Notes 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Applied Mathematics and Optimization 5 Functional Analysis and its Applications 5 Journal für die Reine und Angewandte Mathematik 5 Numerische Mathematik 5 Annales Henri Poincaré 5 Communications on Pure and Applied Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Inverse Problems 4 Indiana University Mathematics Journal 4 Monatshefte für Mathematik 4 SIAM Journal on Control and Optimization 4 International Journal of Mathematics 4 Differential Geometry and its Applications 4 SIAM Journal on Mathematical Analysis 4 Fractional Calculus & Applied Analysis 4 Journal of Mathematical Fluid Mechanics 4 Journal of Noncommutative Geometry 3 Computers & Mathematics with Applications 3 Israel Journal of Mathematics 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Integral Equations and Applications 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Potential Analysis 3 St. Petersburg Mathematical Journal 3 The Journal of Fourier Analysis and Applications 3 Mathematical Physics, Analysis and Geometry 3 Nonlinear Analysis. Real World Applications 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Mathematical Control and Related Fields 3 Journal of Elliptic and Parabolic Equations 2 International Journal of Modern Physics A 2 Computer Methods in Applied Mechanics and Engineering 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 The Annals of Statistics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Manuscripta Mathematica 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Transactions of the Moscow Mathematical Society 2 Journal of Scientific Computing 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Scientific Computing 2 Opuscula Mathematica 2 Electronic Research Announcements of the American Mathematical Society 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Journal of Nonlinear Mathematical Physics 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the American Mathematical Society 2 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Inverse Problems and Imaging ...and 97 more Serials
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### Cited in 46 Fields

 522 Partial differential equations (35-XX) 217 Operator theory (47-XX) 207 Global analysis, analysis on manifolds (58-XX) 74 Fluid mechanics (76-XX) 71 Functional analysis (46-XX) 65 Numerical analysis (65-XX) 58 Quantum theory (81-XX) 39 Mechanics of deformable solids (74-XX) 37 Differential geometry (53-XX) 25 Ordinary differential equations (34-XX) 24 Systems theory; control (93-XX) 23 Real functions (26-XX) 22 Probability theory and stochastic processes (60-XX) 21 Integral equations (45-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Potential theory (31-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Functions of a complex variable (30-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Approximations and expansions (41-XX) 8 $$K$$-theory (19-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 7 Number theory (11-XX) 6 Algebraic geometry (14-XX) 6 Optics, electromagnetic theory (78-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Manifolds and cell complexes (57-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 4 Topological groups, Lie groups (22-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 Associative rings and algebras (16-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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