# zbMATH — the first resource for mathematics

## Grubb, Gerd

Compute Distance To:
 Author ID: grubb.gerd Published as: Grubb, G.; Grubb, Gerd External Links: MGP · Wikidata
 Documents Indexed: 116 Publications since 1968, including 4 Books
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#### Co-Authors

 89 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 Hansen, Lars H. 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 Functional Analysis 3 Journal of Mathematical Analysis and Applications 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
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#### Fields

 97 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) 1 Potential theory (31-XX)

#### Citations contained in zbMATH

92 Publications have been cited 1,258 times in 676 Documents Cited by Year
Functional calculus of pseudodifferential boundary problems. 2nd ed. Zbl 0844.35002
Grubb, Gerd
1996
Distributions and operators. Zbl 1171.47001
Grubb, Gerd
2009
Fractional Laplacians on domains, a development of Hörmander’s theory of $$\mu$$-transmission pseudodifferential operators. Zbl 1318.47064
Grubb, Gerd
2015
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
$$M$$-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
Local and nonlocal boundary conditions for $$\mu$$-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
2014
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
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
Regularity of spectral fractional Dirichlet and Neumann problems. Zbl 1448.47062
Grubb, Gerd
2016
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Zbl 1021.35046
Grubb, Gerd
1999
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains. Zbl 1206.35090
Grubb, G.
2008
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
2001
Parameter-elliptic and parabolic pseudodifferential boundary problems in global $$L_ p$$ Sobolev spaces. Zbl 0877.35142
Grubb, Gerd
1995
Spectral asymptotics for the ”soft” selfadjoint extension of a symmetric elliptic differential operator. Zbl 0559.47035
Grubb, Gerd
1983
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
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
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
2011
Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems. Zbl 0773.58025
Grubb, Gerd
1992
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
Boundary problems for systems of partial differential operators of mixed order. Zbl 0368.35030
Grubb, Gerd
1977
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Zbl 1432.35107
Gimperlein, Heiko; Grubb, Gerd
2014
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates. Zbl 1223.47050
Grubb, Gerd
2011
Les problèmes aux limites généraux d’un opérateur elliptique, provenant de la théorie variationnelle. Zbl 0201.46502
Grubb, G.
1970
Spectral results for mixed problems and fractional elliptic operators. Zbl 1302.35279
Grubb, Gerd
2015
Spectral boundary conditions for generalizations of Laplace and Dirac operators. Zbl 1039.58027
Grubb, Gerd
2003
Weakly semi-bounded boundary problems and sesquilinear forms. Zbl 0261.35011
Grubb, Gerd
1973
Perturbation of essential spectra of exterior elliptic problems. Zbl 1208.35094
Grubb, Gerd
2011
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
2004
Spectral asymptotics for Douglis-Nirenberg elliptic and pseudo- differential boundary problems. Zbl 0381.35034
Grubb, Gerd
1978
Integration by parts and Pohozaev identities for space-dependent fractional-order operators. Zbl 1375.35600
Grubb, Gerd
2016
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 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
Known and unknown results on elliptic boundary problems. Zbl 1159.35004
Grubb, Gerd
2006
Complex powers of resolvents of pseudodifferential operators. Zbl 1129.58304
Grubb, Gerd; Hansen, Lars
2002
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem. Zbl 0976.58018
Grubb, G.
2001
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
1998
Regularity in $$L_{p}$$ Sobolev spaces of solutions to fractional heat equations. Zbl 1396.35022
Grubb, Gerd
2018
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
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
Remarks on trace estimates for exterior boundary problems. Zbl 0553.35022
Grubb, Gerd
1984
Fractional-order operators: boundary problems, heat equations. Zbl 1414.35099
Grubb, Gerd
2018
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
2012
The sectorial projection defined from logarithms. Zbl 1270.58016
Grubb, Gerd
2012
A weakly polyhomogeneous calculus for pseudodifferential boundary problems. Zbl 0998.58017
Grubb, Gerd
2001
Parabolic pseudo-differential boundary problems and applications. Zbl 0763.35116
Grubb, Gerd
1991
Estimation du reste dans l’étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints. Zbl 0399.58019
Grubb, Gerd
1978
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators. Zbl 1409.35216
Grubb, Gerd
2018
Logarithms and sectorial projections for elliptic boundary problems. Zbl 1189.35347
Gaarde, Anders; Grubb, Gerd
2008
On the logarithm component in trace defect formulas. Zbl 1087.35100
Grubb, Gerd
2005
Nonhomogeneous Navier-Stokes problems in $$L_p$$ Sobolev spaces over exterior and interior domains. Zbl 0934.35119
Grubb, G.
1998
Asymptotic expansions for the Atiyah-Patodi-Singer operator. Zbl 0813.58059
Grubb, Gerd; Seeley, Robert T.
1993
Initial value problems for the Navier-Stokes equations with Neumann conditions. Zbl 0781.35051
Grubb, Gerd
1992
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
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
Limited regularity of solutions to fractional heat and Schrödinger equations. Zbl 1415.35142
Grubb, Gerd
2019
Analysis of invariants associated with spectral boundary problems for elliptic operators. Zbl 1077.58014
Grubb, Gerd
2005
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. Zbl 1048.35095
Grubb, Gerd
2003
Parametrized pseudodifferential operators and geometric invariants. Zbl 0873.35116
Grubb, Gerd
1997
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
Complex powers of pseudo-differential boundary value problems with the transmission property. Zbl 0623.47068
Grubb, Gerd
1987
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
1979
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
1979
Spectral theory for boundary value problems for elliptic systems of mixed order. Zbl 0301.35071
Geymonat, Giuseppe; Grubb, Gerd
1974
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
Trace defect formulas and zeta values for boundary problems. Zbl 1154.35103
Grubb, Gerd
2008
Remarks on nonlocal trace expansion coefficients. Zbl 1119.58019
Grubb, Gerd
2006
Spectral boundary conditions and trace formulas. Zbl 1292.35348
Grubb, Gerd
2002
Pseudodifferential boundary problems and applications. Zbl 0873.35117
Grubb, G.
1997
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
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
Une méthode pseudo-différentielle pour les perturbations singulières elliptiques. (A pseudo-differential method for elliptic singular perturbation problems). Zbl 0595.35045
Grubb, Gerd
1985
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
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1981
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1981
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
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
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
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
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
2012
The sectorial projection defined from logarithms. Zbl 1270.58016
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
Spectral boundary conditions and trace formulas. Zbl 1292.35348
Grubb, Gerd
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. 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
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1981
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1981
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
1979
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
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
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
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
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 725 Authors

 44 Grubb, Gerd 20 Schulze, Bert-Wolfgang 19 Behrndt, Jussi 15 Schrohe, Elmar 14 Loya, Paul A. 12 Malamud, Mark M. 10 Abels, Helmut 10 Lesch, Matthias 10 Mitrea, Marius 10 Ros-Oton, Xavier 10 Warma, Mahamadi 9 Gesztesy, Fritz 9 Natroshvili, David 9 Seiler, Jörg 8 Abatangelo, Nicola 8 Johnsen, Jon 8 Neidhardt, Hagen 8 Raymond, Jean-Pierre 8 Solonnikov, Vsevolod Alekseevich 7 Faierman, Melvin 7 Geymonat, Giuseppe 7 Kozhevnikov, Alexander 7 Lee, Yoonweon 7 Lotoreichik, Vladimir 7 Park, Jinsung 7 Rohleder, Jonathan 7 Scott, Simon G. 7 Uhlmann, Gunther Alberto 7 Wood, Ian Geoffrey 6 Borthagaray, Juan Pablo 6 Coriasco, Sandro 6 Denk, Robert 6 Dipierro, Serena 6 Jarohs, Sven 6 Kirsten, Klaus 6 Michelangeli, Alessandro 6 Rabinovich, Vladimir Samuilovich 6 Rüland, Angkana 6 Valdinoci, Enrico 6 Wang, Yong 5 Amann, Herbert 5 Booss-Bavnbek, Bernhelm 5 Fahrenwaldt, Matthias Albrecht 5 Gilkey, Peter B. 5 Gimperlein, Heiko 5 Krupchyk, Katsiaryna 5 Langer, Matthias 5 Posilicano, Andrea 5 Saldaña, Alberto 5 Seeley, Robert Thomas 5 Zakora, Dmitriĭ Aleksandrovich 4 Acosta, Gabriel 4 Antil, Harbir 4 Battisti, Ubertino 4 Brown, B. Malcolm 4 Chang, Tongkeun 4 Fall, Mouhamed Moustapha 4 Fischbacher, Christoph 4 Gallone, Matteo 4 Ghosh, Tuhin 4 Glusa, Christian 4 Goffeng, Magnus 4 Huang, Rung-Tzung 4 Iochum, Bruno 4 Jin, Bum Ja 4 Krainer, Thomas 4 Levendorskiĭ, Sergeĭ Zakharovich 4 Naboko, Serguei N. 4 Nistor, Victor 4 Salo, Mikko 4 Serra Montolí, Joaquim 4 Shibata, Yoshihiro 4 ter Elst, Antonius Frederik Maria 4 Wang, Jian 4 Zhu, Chaofeng 3 Ainsworth, Mark 3 Ashbaugh, Mark S. 3 Bohlen, Karsten 3 Bonforte, Matteo 3 Brüning, Jochen 3 Buchukuri, Tengiz 3 Chen, Guoyuan 3 Chkadua, O. O. 3 Dappiaggi, Claudio 3 Dias, Nuno Costa 3 Duduchava, Roland 3 Farwig, Reinhard 3 Hieber, Matthias 3 Kassmann, Moritz 3 Lassas, Matti 3 Latushkin, Yuri 3 Levy, Cyril 3 Liu, Genqian 3 Liu, Jie 3 Ludkovsky, Sergey Victor 3 Maniccia, Lidia 3 Melo, Severino Toscano 3 Mennicken, Reinhard 3 Moroianu, Sergiu 3 Pego, Robert L. ...and 625 more Authors
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#### Cited in 182 Serials

 39 Journal of Functional Analysis 30 Integral Equations and Operator Theory 27 Journal of Differential Equations 25 Communications in Partial Differential Equations 23 Journal of Mathematical Analysis and Applications 22 Mathematische Nachrichten 14 Journal of Geometry and Physics 14 Advances in Mathematics 14 Journal of Mathematical Sciences (New York) 13 Journal of Pseudo-Differential Operators and Applications 12 Journal of Mathematical Physics 11 Communications in Mathematical Physics 11 Transactions of the American Mathematical Society 9 Archive for Rational Mechanics and Analysis 8 Journal d’Analyse Mathématique 8 Mathematische Annalen 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Proceedings of the American Mathematical Society 8 Annals of Global Analysis and Geometry 8 The Journal of Geometric Analysis 7 Applicable Analysis 7 Calculus of Variations and Partial Differential Equations 7 Discrete and Continuous Dynamical Systems 6 Mathematical Methods in the Applied Sciences 6 Duke Mathematical Journal 6 Journal of Soviet Mathematics 6 Russian Journal of Mathematical Physics 6 Journal of Evolution Equations 5 Journal of Computational Physics 5 Letters in Mathematical Physics 5 Reviews in Mathematical Physics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 SIAM Journal on Numerical Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 SIAM Journal on Mathematical Analysis 5 Annales Henri Poincaré 5 Complex Analysis and Operator Theory 4 Inverse Problems 4 Functional Analysis and its Applications 4 Monatshefte für Mathematik 4 Numerische Mathematik 4 SIAM Journal on Control and Optimization 4 International Journal of Mathematics 4 Differential Geometry and its Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Mathematical Fluid Mechanics 4 Communications on Pure and Applied Analysis 4 Journal of Noncommutative Geometry 4 Journal of Spectral Theory 3 Israel Journal of Mathematics 3 Mathematical Notes 3 Annales de l’Institut Fourier 3 Indiana University Mathematics Journal 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 International Journal of Modern Physics A 2 Computers & Mathematics with Applications 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Applied Mathematics and Optimization 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 St. Petersburg Mathematical Journal 2 Opuscula Mathematica 2 Electronic Research Announcements of the American Mathematical Society 2 The Journal of Fourier Analysis and Applications 2 Matematychni Metody ta Fizyko-Mekhanichni Polya 2 Fractional Calculus & Applied Analysis 2 Journal of High Energy Physics 2 Journal of Nonlinear Mathematical Physics 2 Advanced Nonlinear Studies 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 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Mathematical Control and Related Fields 2 Transactions of A. Razmadze Mathematical Institute 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Fluid Mechanics ...and 82 more Serials
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#### Cited in 44 Fields

 445 Partial differential equations (35-XX) 191 Global analysis, analysis on manifolds (58-XX) 190 Operator theory (47-XX) 65 Functional analysis (46-XX) 65 Fluid mechanics (76-XX) 54 Quantum theory (81-XX) 49 Numerical analysis (65-XX) 35 Mechanics of deformable solids (74-XX) 33 Differential geometry (53-XX) 21 Ordinary differential equations (34-XX) 21 Integral equations (45-XX) 19 Probability theory and stochastic processes (60-XX) 16 Potential theory (31-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Systems theory; control (93-XX) 13 Real functions (26-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Functions of a complex variable (30-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Approximations and expansions (41-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 $$K$$-theory (19-XX) 6 Number theory (11-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Manifolds and cell complexes (57-XX) 6 Relativity and gravitational theory (83-XX) 6 Biology and other natural sciences (92-XX) 5 Algebraic geometry (14-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-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) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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