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Author ID: grubb.gerd Recent zbMATH articles by "Grubb, Gerd"
Published as: Grubb, Gerd; Grubb, G.
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Serials

9 Communications in Partial Differential Equations
7 Mathematica Scandinavica
7 Comptes Rendus de l’Académie des Sciences. Série I
7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
5 Journal of Functional Analysis
4 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 of the London Mathematical Society. Second Series
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

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,777 times in 986 Documents Cited by Year
Distributions and operators. Zbl 1171.47001
Grubb, Gerd
166
2009
Fractional Laplacians on domains, a development of Hörmander’s theory of \(\mu\)-transmission pseudodifferential operators. Zbl 1318.47064
Grubb, Gerd
166
2015
Functional calculus of pseudodifferential boundary problems. 2nd ed. Zbl 0844.35002
Grubb, Gerd
132
1996
A characterization of the non-local boundary value problems associated with an elliptic operator. Zbl 0182.14501
Grubb, G.
93
1968
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034
Grubb, Gerd; Solonnikov, Vsevolod A.
68
1991
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Zbl 0851.58043
Grubb, Gerd; Seeley, Robert T.
66
1995
Functional calculus of pseudo-differential boundary problems. Zbl 0622.35001
Grubb, Gerd
65
1986
Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
61
2014
Pseudo-differential boundary problems in \(L_ p\) spaces. Zbl 0723.35091
Grubb, Gerd
51
1990
Regularity of spectral fractional Dirichlet and Neumann problems. Zbl 1448.47062
Grubb, Gerd
47
2016
\(M\)-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.
46
2009
Zeta and eta functions for Atiyah-Patodi-Singer operators. Zbl 0858.58050
Grubb, Gerd; Seeley, Robert T.
36
1996
A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces. Zbl 0811.35176
Grubb, Gerd; Kokholm, Niels Jørgen
34
1993
The essential spectrum of elliptic systems of mixed order. Zbl 0361.35050
Grubb, Gerd; Geymonat, Giuseppe
33
1977
Singular Green operators and their spectral asymptotics. Zbl 0553.58034
Grubb, Gerd
32
1984
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Zbl 1021.35046
Grubb, Gerd
27
1999
Spectral asymptotics for the ”soft” selfadjoint extension of a symmetric elliptic differential operator. Zbl 0559.47035
Grubb, Gerd
25
1983
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
23
2001
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains. Zbl 1206.35090
Grubb, G.
21
2008
On coerciveness and semiboundedness of general boundary problems. Zbl 0231.35027
Grubb, Gerd
20
1971
Parameter-elliptic and parabolic pseudodifferential boundary problems in global \(L_ p\) Sobolev spaces. Zbl 0877.35142
Grubb, Gerd
19
1995
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
19
2014
Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems. Zbl 0773.58025
Grubb, Gerd
18
1992
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity \(L_p\) Sobolev spaces. Zbl 0992.35065
Grubb, Gerd
18
2001
Spectral results for mixed problems and fractional elliptic operators. Zbl 1302.35279
Grubb, Gerd
18
2015
The transmission property. Zbl 0766.35088
Grubb, Gerd; Hörmander, Lars
16
1990
Les problèmes aux limites généraux d’un opérateur elliptique, provenant de la théorie variationnelle. Zbl 0201.46502
Grubb, G.
16
1970
Properties of normal boundary problems for elliptic even-order systems. Zbl 0309.35034
Grubb, Gerd
16
1975
Spectral asymptotics for nonsmooth singular Green operators. Zbl 1290.35057
Grubb, Gerd
16
2014
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Zbl 1432.35107
Gimperlein, Heiko; Grubb, Gerd
16
2014
Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations. Zbl 1396.35022
Grubb, Gerd
15
2018
Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109
Grubb, Gerd; Solonnikov, Vsevolod A.
15
1990
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
14
1998
Boundary problems for systems of partial differential operators of mixed order. Zbl 0368.35030
Grubb, Gerd
14
1977
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates. Zbl 1223.47050
Grubb, Gerd
14
2011
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
14
2011
A resolvent approach to traces and zeta Laurent expansions. Zbl 1073.58021
Grubb, Gerd
13
2005
Integration by parts and Pohozaev identities for space-dependent fractional-order operators. Zbl 1375.35600
Grubb, Gerd
13
2016
Spectral boundary conditions for generalizations of Laplace and Dirac operators. Zbl 1039.58027
Grubb, Gerd
12
2003
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators. Zbl 1409.35216
Grubb, Gerd
12
2018
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
11
2004
Kreĭn-like extensions and the lower boundedness problem for elliptic operators. Zbl 1242.47041
Grubb, Gerd
11
2012
Fractional-order operators: boundary problems, heat equations. Zbl 1414.35099
Grubb, Gerd
11
2018
Spectral asymptotics for Douglis-Nirenberg elliptic and pseudo- differential boundary problems. Zbl 0381.35034
Grubb, Gerd
10
1978
Weakly semi-bounded boundary problems and sesquilinear forms. Zbl 0261.35011
Grubb, Gerd
10
1973
The local and global parts of the basic zeta coefficient for operators on manifolds with boundary. Zbl 1147.58028
Grubb, Gerd
10
2008
Nonhomogeneous time-dependent Navier-Stokes problems in \(L_ p\) Sobolev spaces. Zbl 0831.35126
Grubb, Gerd
9
1995
Perturbation of essential spectra of exterior elliptic problems. Zbl 1208.35094
Grubb, Gerd
9
2011
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
9
2015
Known and unknown results on elliptic boundary problems. Zbl 1159.35004
Grubb, Gerd
8
2006
Fractional-order operators on nonsmooth domains. Zbl 1521.35064
Abels, Helmut; Grubb, Gerd
8
2023
Limited regularity of solutions to fractional heat and Schrödinger equations. Zbl 1415.35142
Grubb, Gerd
8
2019
Exact Green’s formula for the fractional Laplacian and perturbations. Zbl 1453.35051
Grubb, Gerd
8
2020
The sectorial projection defined from logarithms. Zbl 1270.58016
Grubb, Gerd
7
2012
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem. Zbl 0976.58018
Grubb, G.
7
2001
Complex powers of resolvents of pseudodifferential operators. Zbl 1129.58304
Grubb, Gerd; Hansen, Lars
7
2002
Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems. Zbl 0407.35075
Grubb, Gerd
6
1978
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
6
2012
Resolvents for fractional-order operators with nonhomogeneous local boundary conditions. Zbl 1509.35399
Grubb, Gerd
6
2023
On the logarithm component in trace defect formulas. Zbl 1087.35100
Grubb, Gerd
5
2005
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.
5
1993
A weakly polyhomogeneous calculus for pseudodifferential boundary problems. Zbl 0998.58017
Grubb, Gerd
5
2001
Remarks on trace estimates for exterior boundary problems. Zbl 0553.35022
Grubb, Gerd
5
1984
Initial value problems for the Navier-Stokes equations with Neumann conditions. Zbl 0781.35051
Grubb, Gerd
4
1992
Estimation du reste dans l’étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints. Zbl 0399.58019
Grubb, Gerd
4
1978
Parabolic pseudo-differential boundary problems and applications. Zbl 0763.35116
Grubb, Gerd
4
1991
Logarithms and sectorial projections for elliptic boundary problems. Zbl 1189.35347
Gaarde, Anders; Grubb, Gerd
4
2008
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.
4
1987
Nonhomogeneous Navier-Stokes problems in \(L_p\) Sobolev spaces over exterior and interior domains. Zbl 0934.35119
Grubb, G.
4
1998
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.
4
1991
Analysis of invariants associated with spectral boundary problems for elliptic operators. Zbl 1077.58014
Grubb, Gerd
3
2005
Complex powers of pseudo-differential boundary value problems with the transmission property. Zbl 0623.47068
Grubb, Gerd
3
1987
Spectral theory for boundary value problems for elliptic systems of mixed order. Zbl 0301.35071
Geymonat, Giuseppe; Grubb, Gerd
3
1974
A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation. Zbl 0675.76028
Grubb, Gerd; Solonnikov, Vsevolod A.
3
1988
Parametrized pseudodifferential operators and geometric invariants. Zbl 0873.35116
Grubb, Gerd
2
1997
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
2
1979
Problèmes aux limites pseudodifférentiels dependant d’un paramètre. Zbl 0492.35079
Grubb, Gerd
2
1981
Une condition necessaire et suffisante pour la m-coercivite des problèmes aux limites elliptiques. Zbl 0192.49301
Grubb, G.
2
1970
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. Zbl 1048.35095
Grubb, Gerd
2
2003
Inequalities for boundary value problems for systems of partial differential operators. Zbl 0267.35026
Grubb, Gerd
2
1973
Problèmes aux limites semi-bornes pour les systèmes elliptiques. Zbl 0243.35032
Grubb, Gerd
2
1972
Integration by parts for nonsymmetric fractional-order operators on a halfspace. Zbl 1473.35629
Grubb, Gerd
2
2021
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
2
1979
Remarks on nonlocal trace expansion coefficients. Zbl 1119.58019
Grubb, Gerd
2
2006
The principal transmission condition. Zbl 1496.35471
Grubb, Gerd
2
2022
Pseudodifferential boundary problems and applications. Zbl 0873.35117
Grubb, G.
1
1997
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1
1981
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1
1981
The heat equation associated with a pseudo-differential boundary problem. Zbl 0508.35081
Grubb, Gerd
1
1982
Coerciveness of the normal boundary problems for an elliptic operator. Zbl 0188.16902
Grubb, G.
1
1970
Comportement asymptotique du spectre des opérateurs de Green singuliers. Zbl 0553.35066
Grubb, Gerd
1
1983
Une méthode pseudo-différentielle pour les perturbations singulières elliptiques. (A pseudo-differential method for elliptic singular perturbation problems). Zbl 0595.35045
Grubb, Gerd
1
1985
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
1
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
1
1972
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.
1
1989
Corrigendum to: “Integration by parts for nonsymmetric fractional-order operators on a halfspace”. Zbl 1476.35309
Grubb, Gerd
1
2022
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
1
1991
Trace defect formulas and zeta values for boundary problems. Zbl 1154.35103
Grubb, Gerd
1
2008
Weyl asymptotics for fractional-order Dirichlet realizations in nonsmooth cases. Zbl 1540.35485
Grubb, Gerd
1
2023
Fractional-order operators on nonsmooth domains. Zbl 1521.35064
Abels, Helmut; Grubb, Gerd
8
2023
Resolvents for fractional-order operators with nonhomogeneous local boundary conditions. Zbl 1509.35399
Grubb, Gerd
6
2023
Weyl asymptotics for fractional-order Dirichlet realizations in nonsmooth cases. Zbl 1540.35485
Grubb, Gerd
1
2023
The principal transmission condition. Zbl 1496.35471
Grubb, Gerd
2
2022
Corrigendum to: “Integration by parts for nonsymmetric fractional-order operators on a halfspace”. Zbl 1476.35309
Grubb, Gerd
1
2022
Integration by parts for nonsymmetric fractional-order operators on a halfspace. Zbl 1473.35629
Grubb, Gerd
2
2021
Exact Green’s formula for the fractional Laplacian and perturbations. Zbl 1453.35051
Grubb, Gerd
8
2020
Limited regularity of solutions to fractional heat and Schrödinger equations. Zbl 1415.35142
Grubb, Gerd
8
2019
Regularity in \(L_{p}\) Sobolev spaces of solutions to fractional heat equations. Zbl 1396.35022
Grubb, Gerd
15
2018
Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators. Zbl 1409.35216
Grubb, Gerd
12
2018
Fractional-order operators: boundary problems, heat equations. Zbl 1414.35099
Grubb, Gerd
11
2018
Regularity of spectral fractional Dirichlet and Neumann problems. Zbl 1448.47062
Grubb, Gerd
47
2016
Integration by parts and Pohozaev identities for space-dependent fractional-order operators. Zbl 1375.35600
Grubb, Gerd
13
2016
Fractional Laplacians on domains, a development of Hörmander’s theory of \(\mu\)-transmission pseudodifferential operators. Zbl 1318.47064
Grubb, Gerd
166
2015
Spectral results for mixed problems and fractional elliptic operators. Zbl 1302.35279
Grubb, Gerd
18
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
9
2015
Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators. Zbl 1317.35310
Grubb, Gerd
61
2014
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
19
2014
Spectral asymptotics for nonsmooth singular Green operators. Zbl 1290.35057
Grubb, Gerd
16
2014
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators. Zbl 1432.35107
Gimperlein, Heiko; Grubb, Gerd
16
2014
Kreĭn-like extensions and the lower boundedness problem for elliptic operators. Zbl 1242.47041
Grubb, Gerd
11
2012
The sectorial projection defined from logarithms. Zbl 1270.58016
Grubb, Gerd
7
2012
Extension theory for elliptic partial differential operators with pseudodifferential methods. Zbl 1331.47069
Grubb, Gerd
6
2012
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates. Zbl 1223.47050
Grubb, Gerd
14
2011
Spectral asymptotics for Robin problems with a discontinuous coefficient. Zbl 1223.35146
Grubb, Gerd
14
2011
Perturbation of essential spectra of exterior elliptic problems. Zbl 1208.35094
Grubb, Gerd
9
2011
Distributions and operators. Zbl 1171.47001
Grubb, Gerd
166
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.
46
2009
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains. Zbl 1206.35090
Grubb, G.
21
2008
The local and global parts of the basic zeta coefficient for operators on manifolds with boundary. Zbl 1147.58028
Grubb, Gerd
10
2008
Logarithms and sectorial projections for elliptic boundary problems. Zbl 1189.35347
Gaarde, Anders; Grubb, Gerd
4
2008
Trace defect formulas and zeta values for boundary problems. Zbl 1154.35103
Grubb, Gerd
1
2008
Known and unknown results on elliptic boundary problems. Zbl 1159.35004
Grubb, Gerd
8
2006
Remarks on nonlocal trace expansion coefficients. Zbl 1119.58019
Grubb, Gerd
2
2006
A resolvent approach to traces and zeta Laurent expansions. Zbl 1073.58021
Grubb, Gerd
13
2005
On the logarithm component in trace defect formulas. Zbl 1087.35100
Grubb, Gerd
5
2005
Analysis of invariants associated with spectral boundary problems for elliptic operators. Zbl 1077.58014
Grubb, Gerd
3
2005
Traces and quasi-traces on the Boutet de Monvel algebra. Zbl 1078.58015
Grubb, Gerd; Schrohe, Elmar
11
2004
Spectral boundary conditions for generalizations of Laplace and Dirac operators. Zbl 1039.58027
Grubb, Gerd
12
2003
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems. Zbl 1048.35095
Grubb, Gerd
2
2003
Complex powers of resolvents of pseudodifferential operators. Zbl 1129.58304
Grubb, Gerd; Hansen, Lars
7
2002
Trace expansions and the noncommutative residue for manifolds with boundary. Zbl 0980.58017
Grubb, Gerd; Schrohe, Elmar
23
2001
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity \(L_p\) Sobolev spaces. Zbl 0992.35065
Grubb, Gerd
18
2001
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem. Zbl 0976.58018
Grubb, G.
7
2001
A weakly polyhomogeneous calculus for pseudodifferential boundary problems. Zbl 0998.58017
Grubb, Gerd
5
2001
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems. Zbl 1021.35046
Grubb, Gerd
27
1999
Logarithmic terms in asymptotic expansions of heat operator traces. Zbl 0911.35128
Gilkey, Peter B.; Grubb, Gerd
14
1998
Nonhomogeneous Navier-Stokes problems in \(L_p\) Sobolev spaces over exterior and interior domains. Zbl 0934.35119
Grubb, G.
4
1998
Parametrized pseudodifferential operators and geometric invariants. Zbl 0873.35116
Grubb, Gerd
2
1997
Pseudodifferential boundary problems and applications. Zbl 0873.35117
Grubb, G.
1
1997
Functional calculus of pseudodifferential boundary problems. 2nd ed. Zbl 0844.35002
Grubb, Gerd
132
1996
Zeta and eta functions for Atiyah-Patodi-Singer operators. Zbl 0858.58050
Grubb, Gerd; Seeley, Robert T.
36
1996
Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems. Zbl 0851.58043
Grubb, Gerd; Seeley, Robert T.
66
1995
Parameter-elliptic and parabolic pseudodifferential boundary problems in global \(L_ p\) Sobolev spaces. Zbl 0877.35142
Grubb, Gerd
19
1995
Nonhomogeneous time-dependent Navier-Stokes problems in \(L_ p\) Sobolev spaces. Zbl 0831.35126
Grubb, Gerd
9
1995
A global calculus of parameter-dependent pseudodifferential boundary problems in \(L_ p\) Sobolev spaces. Zbl 0811.35176
Grubb, Gerd; Kokholm, Niels Jørgen
34
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.
5
1993
Heat operator trace expansions and index for general Atiyah-Patodi-Singer boundary problems. Zbl 0773.58025
Grubb, Gerd
18
1992
Initial value problems for the Navier-Stokes equations with Neumann conditions. Zbl 0781.35051
Grubb, Gerd
4
1992
Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Zbl 0766.35034
Grubb, Gerd; Solonnikov, Vsevolod A.
68
1991
Parabolic pseudo-differential boundary problems and applications. Zbl 0763.35116
Grubb, Gerd
4
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.
4
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
1
1991
Pseudo-differential boundary problems in \(L_ p\) spaces. Zbl 0723.35091
Grubb, Gerd
51
1990
The transmission property. Zbl 0766.35088
Grubb, Gerd; Hörmander, Lars
16
1990
Solution of parabolic pseudo-differential initial-boundary value problems. Zbl 0713.35109
Grubb, Gerd; Solonnikov, Vsevolod A.
15
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.
1
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.
3
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.
4
1987
Complex powers of pseudo-differential boundary value problems with the transmission property. Zbl 0623.47068
Grubb, Gerd
3
1987
Functional calculus of pseudo-differential boundary problems. Zbl 0622.35001
Grubb, Gerd
65
1986
Une méthode pseudo-différentielle pour les perturbations singulières elliptiques. (A pseudo-differential method for elliptic singular perturbation problems). Zbl 0595.35045
Grubb, Gerd
1
1985
Singular Green operators and their spectral asymptotics. Zbl 0553.58034
Grubb, Gerd
32
1984
Remarks on trace estimates for exterior boundary problems. Zbl 0553.35022
Grubb, Gerd
5
1984
Spectral asymptotics for the ”soft” selfadjoint extension of a symmetric elliptic differential operator. Zbl 0559.47035
Grubb, Gerd
25
1983
Comportement asymptotique du spectre des opérateurs de Green singuliers. Zbl 0553.35066
Grubb, Gerd
1
1983
The heat equation associated with a pseudo-differential boundary problem. Zbl 0508.35081
Grubb, Gerd
1
1982
Problèmes aux limites pseudodifférentiels dependant d’un paramètre. Zbl 0492.35079
Grubb, Gerd
2
1981
A resolvent construction for pseudo-differential boundary value problems, with applications. Zbl 0471.35064
Grubb, Gerd
1
1981
La resolvante d’un problème aux limites pseudo-différentiel elliptique. Zbl 0489.35083
Grubb, Gerd
1
1981
On coerciveness of Douglis-Nirenberg elliptic boundary value problems. Zbl 0456.35015
Grubb, Gerd
2
1979
Eigenvalue asymptotics for selfadjoint elliptic mixed order systems with nonempty essential spectrum. Zbl 0423.35071
Grubb, Gerd; Geymonat, Giuseppe
2
1979
Spectral asymptotics for Douglis-Nirenberg elliptic and pseudo- differential boundary problems. Zbl 0381.35034
Grubb, Gerd
10
1978
Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems. Zbl 0407.35075
Grubb, Gerd
6
1978
Estimation du reste dans l’étude des valeurs propres des problèmes aux limites pseudo-différentiels auto-adjoints. Zbl 0399.58019
Grubb, Gerd
4
1978
The essential spectrum of elliptic systems of mixed order. Zbl 0361.35050
Grubb, Gerd; Geymonat, Giuseppe
33
1977
Boundary problems for systems of partial differential operators of mixed order. Zbl 0368.35030
Grubb, Gerd
14
1977
Properties of normal boundary problems for elliptic even-order systems. Zbl 0309.35034
Grubb, Gerd
16
1975
Spectral theory for boundary value problems for elliptic systems of mixed order. Zbl 0301.35071
Geymonat, Giuseppe; Grubb, Gerd
3
1974
Weakly semi-bounded boundary problems and sesquilinear forms. Zbl 0261.35011
Grubb, Gerd
10
1973
Inequalities for boundary value problems for systems of partial differential operators. Zbl 0267.35026
Grubb, Gerd
2
1973
Problèmes aux limites semi-bornes pour les systèmes elliptiques. Zbl 0243.35032
Grubb, Gerd
2
1972
Caractérisation de quelques propriétés des problèmes aux limites pour les systèmes elliptiques: Problèmes aux limites variationnels. Zbl 0278.35035
Grubb, G.
1
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
1
1972
On coerciveness and semiboundedness of general boundary problems. Zbl 0231.35027
Grubb, Gerd
20
1971
Les problèmes aux limites généraux d’un opérateur elliptique, provenant de la théorie variationnelle. Zbl 0201.46502
Grubb, G.
16
1970
Une condition necessaire et suffisante pour la m-coercivite des problèmes aux limites elliptiques. Zbl 0192.49301
Grubb, G.
2
1970
Coerciveness of the normal boundary problems for an elliptic operator. Zbl 0188.16902
Grubb, G.
1
1970
A characterization of the non-local boundary value problems associated with an elliptic operator. Zbl 0182.14501
Grubb, G.
93
1968
all top 5

Cited by 1,051 Authors

49 Grubb, Gerd
25 Schulze, Bert-Wolfgang
21 Behrndt, Jussi
21 Schrohe, Elmar
16 Warma, Mahamadi
15 Loya, Paul A.
15 Seiler, Jörg
14 Borthagaray, Juan Pablo
14 Malamud, Mark M.
14 Ros-Oton, Xavier
13 Abels, Helmut
13 Gesztesy, Fritz
11 Kirsten, Klaus
11 Mitrea, Marius
11 Uhlmann, Gunther Alberto
10 Abatangelo, Nicola
10 Antil, Harbir
10 Lee, Yoonweon
10 Lesch, Matthias
10 Michelangeli, Alessandro
10 Natroshvili, David
10 Raymond, Jean-Pierre
9 Johnsen, Jon
9 Savin, Anton Yur’evich
8 Denk, Robert
8 Dipierro, Serena
8 Ghosh, Tuhin
8 Liu, Genqian
8 Lotoreichik, Vladimir
8 Neidhardt, Hagen
8 Nochetto, Ricardo Horacio
8 Park, Jinsung
8 Rohleder, Jonathan
8 Scott, Simon G.
8 Solonnikov, Vsevolod Alekseevich
8 Wang, Yong
8 Zakora, Dmitriĭ Aleksandrovich
7 Booss-Bavnbek, Bernhelm
7 Faierman, Melvin
7 Geymonat, Giuseppe
7 Gimperlein, Heiko
7 Jarohs, Sven
7 Kozhevnikov, Alexander
7 Rüland, Angkana
7 Valdinoci, Enrico
7 Wood, Ian Geoffrey
6 Coriasco, Sandro
6 Fall, Mouhamed Moustapha
6 Faustmann, Markus
6 Gilkey, Peter B.
6 Goffeng, Magnus
6 Krupchyk, Katsiaryna
6 Melenk, Jens Markus
6 Otárola, Enrique
6 Posilicano, Andrea
6 Rozenblum, Grigori V.
6 Saldaña, Alberto
6 Wang, Jian
6 Zhu, Chaofeng
5 Acosta, Gabriel
5 Amann, Herbert
5 Boltachev, A. V.
5 Brown, B. Malcolm
5 Cardona, Duván
5 Chang, Der-Chen E.
5 Chang, Tongkeun
5 Chkadua, Otar
5 Dappiaggi, Claudio
5 Facchi, Paolo
5 Fahrenwaldt, Matthias Albrecht
5 Farwig, Reinhard
5 Fernández-Real, Xavier
5 Gallone, Matteo
5 Jin, Bumja
5 Langer, Matthias
5 Ponge, Raphaël S.
5 Rabinovich, Vladimir Samuilovich
5 Salo, Mikko
5 Seeley, Robert Thomas
5 ter Elst, Antonius Frederik Maria
5 Vazquez, Juan Luis
4 Ashbaugh, Mark S.
4 Battisti, Ubertino
4 Bhattacharyya, Sombuddha
4 Biccari, Umberto
4 Bonforte, Matteo
4 D’Elia, Marta
4 Fischbacher, Christoph
4 Hassi, Seppo
4 Huang, Rung-Tzung
4 Iochum, Bruno
4 Khalil, Sara
4 Krainer, Thomas
4 Latushkin, Yuri
4 Levendorskiĭ, Sergeĭ Zakharovich
4 Levitin, Michael R.
4 Maity, Debayan
4 Mengesha, Tadele
4 Naboko, Serguei N.
4 Nichols, Roger
...and 951 more Authors
all top 5

Cited in 247 Serials

48 Journal of Functional Analysis
34 Journal of Differential Equations
30 Integral Equations and Operator Theory
29 Journal of Mathematical Analysis and Applications
27 Mathematische Nachrichten
26 Communications in Partial Differential Equations
21 Advances in Mathematics
18 Journal of Pseudo-Differential Operators and Applications
17 Journal of Mathematical Physics
16 Journal of Mathematical Sciences (New York)
15 Journal of Geometry and Physics
15 Mathematische Annalen
14 Communications in Mathematical Physics
14 The Journal of Geometric Analysis
13 SIAM Journal on Mathematical Analysis
11 Mathematical Methods in the Applied Sciences
11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
11 SIAM Journal on Numerical Analysis
11 Transactions of the American Mathematical Society
11 Annals of Global Analysis and Geometry
11 Discrete and Continuous Dynamical Systems
10 Journal d’Analyse Mathématique
10 Calculus of Variations and Partial Differential Equations
10 Journal of Evolution Equations
9 Archive for Rational Mechanics and Analysis
9 Proceedings of the American Mathematical Society
9 Journal of Spectral Theory
8 Applicable Analysis
8 Inverse Problems
8 Reviews in Mathematical Physics
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Russian Journal of Mathematical Physics
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 Journal of Computational Physics
7 Applied Mathematics and Optimization
7 Duke Mathematical Journal
7 Complex Analysis and Operator Theory
6 Letters in Mathematical Physics
6 Mathematical Notes
6 Journal of Soviet Mathematics
6 Mathematische Zeitschrift
6 Fractional Calculus & Applied Analysis
6 Annales Henri Poincaré
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Functional Analysis and its Applications
5 Indiana University Mathematics Journal
5 Journal für die Reine und Angewandte Mathematik
5 Numerische Mathematik
5 Differential Geometry and its Applications
5 Journal of Mathematical Fluid Mechanics
5 Communications on Pure and Applied Analysis
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Noncommutative Geometry
4 Computer Methods in Applied Mechanics and Engineering
4 Nonlinearity
4 Mathematics of Computation
4 Applied Mathematics and Computation
4 Monatshefte für Mathematik
4 SIAM Journal on Control and Optimization
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 International Journal of Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Potential Analysis
4 St. Petersburg Mathematical Journal
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
4 Inverse Problems and Imaging
4 Evolution Equations and Control Theory
3 Computers & Mathematics with Applications
3 Israel Journal of Mathematics
3 Annales de l’Institut Fourier
3 Journal of Computational and Applied Mathematics
3 Journal of the London Mathematical Society. Second Series
3 Memoirs of the American Mathematical Society
3 Journal of Scientific Computing
3 Journal of Integral Equations and Applications
3 Annals of Physics
3 The Journal of Fourier Analysis and Applications
3 Mathematical Physics, Analysis and Geometry
3 Differential Equations
3 Nonlinear Analysis. Real World Applications
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Journal of Physics A: Mathematical and Theoretical
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Mathematical Control and Related Fields
3 Journal of Elliptic and Parabolic Equations
2 International Journal of Modern Physics A
2 Communications on Pure and Applied Mathematics
2 Nuclear Physics. B
2 Physics Reports
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 Illinois Journal of Mathematics
2 Manuscripta Mathematica
2 Mathematica Scandinavica
2 Mathematika
2 Rendiconti del Seminario Matematico della Università di Padova
2 Results in Mathematics
...and 147 more Serials
all top 5

Cited in 51 Fields

671 Partial differential equations (35-XX)
265 Operator theory (47-XX)
255 Global analysis, analysis on manifolds (58-XX)
98 Functional analysis (46-XX)
96 Numerical analysis (65-XX)
88 Fluid mechanics (76-XX)
78 Quantum theory (81-XX)
46 Mechanics of deformable solids (74-XX)
42 Differential geometry (53-XX)
37 Real functions (26-XX)
36 Probability theory and stochastic processes (60-XX)
30 Ordinary differential equations (34-XX)
29 Integral equations (45-XX)
28 Systems theory; control (93-XX)
26 Potential theory (31-XX)
26 Calculus of variations and optimal control; optimization (49-XX)
18 Harmonic analysis on Euclidean spaces (42-XX)
16 Several complex variables and analytic spaces (32-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Approximations and expansions (41-XX)
13 Functions of a complex variable (30-XX)
12 Dynamical systems and ergodic theory (37-XX)
12 Optics, electromagnetic theory (78-XX)
11 Algebraic geometry (14-XX)
10 Biology and other natural sciences (92-XX)
9 \(K\)-theory (19-XX)
8 Number theory (11-XX)
8 Mechanics of particles and systems (70-XX)
8 Relativity and gravitational theory (83-XX)
7 Abstract harmonic analysis (43-XX)
7 Statistics (62-XX)
6 Topological groups, Lie groups (22-XX)
6 Manifolds and cell complexes (57-XX)
5 Integral transforms, operational calculus (44-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Measure and integration (28-XX)
3 Geophysics (86-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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