Gerd Grubb
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Danish mathematician
Gerd Grubb's AcademicInfluence.com Rankings
Gerd Grubbmathematics Degrees
Mathematics
#1636
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#2637
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Functional Analysis
#33
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#47
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Measure Theory
#1687
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#2074
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Mathematics
Gerd Grubb's Degrees
- PhD Mathematics University of Copenhagen
Why Is Gerd Grubb Influential?
(Suggest an Edit or Addition)According to Wikipedia, Gerd Grubb is a Danish mathematician known for her research on pseudo-differential operators. She is a professor emerita in the Department of Mathematical Sciences at the University of Copenhagen, where she was the first female professor of mathematics.
Gerd Grubb's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Distributions and Operators (2008) (336)
- On the Functional Calculus of Pseudo-Differential Boundary Problems (1984) (308)
- Fractional Laplacians on domains, a development of Hörmander's theory of μ-transmission pseudodifferential operators (2013) (247)
- Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer boundary problems (1995) (195)
- A characterization of the non local boundary value problems associated with an elliptic operator (1968) (173)
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. (1991) (142)
- Zeta and eta functions for Atiyah-Patodi-Singer operators (1996) (107)
- Pseudo-differential boundary problems in Lp, spaces (1990) (106)
- Local and nonlocal boundary conditions for μ-transmission and fractional elliptic pseudodifferential operators (2014) (93)
- M ‐functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems (2008) (88)
- Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems (1999) (81)
- The essential spectrum of elliptic systems of mixed order (1977) (79)
- Regularity of spectral fractional Dirichlet and Neumann problems (2014) (75)
- Singular Green operators and their spectral asymptotics (1984) (70)
- A global calculus of parameter-dependent pseudodifferential boundary problems inLp Sobolev spaces (1993) (61)
- The transmission property. (1990) (60)
- TRACE EXPANSIONS AND THE NONCOMMUTATIVE RESIDUE FOR MANIFOLDS WITH BOUNDARY (2001) (47)
- Parameter-elliptic and parabolic pseudodifferential boundary problems in globalLp sobolev spaces (1995) (46)
- On coerciveness and semiboundedness of general boundary problems (1971) (45)
- Logarithmic terms in asymptotic expansions of heat operator traces (1998) (44)
- Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems (2010) (42)
- Krein resolvent formulas for elliptic boundary problems in nonsmooth domains (2008) (42)
- Heat Operator Trace Expansions and Index for General Atiyah–Patodi–Singer Boundary Problems (1992) (42)
- A Resolvent Approach to Traces and Zeta Laurent Expansions (2003) (41)
- Properties of normal boundary problems for elliptic even-order systems (1974) (39)
- Nonhomogeneous Dirichlet Navier—Stokes Problems in Low Regularity Lp Sobolev Spaces (2001) (36)
- Solution of parabolic pseudo-differential initial-boundary value problems (1990) (36)
- SPECTRAL RESULTS FOR MIXED PROBLEMS AND FRACTIONAL ELLIPTIC OPERATORS (2014) (34)
- SPECTRAL ASYMPTOTICS FOR ROBIN PROBLEMS WITH A DISCONTINUOUS COEFFICIENT (2010) (34)
- The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates (2011) (30)
- Spectral Boundary Conditions for Generalizations of Laplace and Dirac Operators (2003) (30)
- Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators (2013) (29)
- Nonhomogeneous time-dependent Navier-Stokes problems in $L_p$ Sobolev spaces (1995) (28)
- Traces and quasi-traces on the Boutet de Monvel algebra (2003) (27)
- Spectral Asymptotics for Nonsmooth Singular Green Operators (2012) (24)
- Boundary problems for systems of partial differential operators of mixed order (1977) (24)
- Regularity in $L_p$ Sobolev spaces of solutions to fractional heat equations (2017) (24)
- Integration by parts and Pohozaev identities for space-dependent fractional-order operators (2015) (23)
- Weakly semibounded boundary problems and sesquilinear forms (1973) (22)
- Known and unknown results on elliptic boundary problems (2006) (22)
- Parabolic pseudo-differential boundary problems and applications (1991) (22)
- Krein-like extensions and the lower boundedness problem for elliptic operators on exterior domains (2010) (21)
- COMPLEX POWERS OF RESOLVENTS OF PSEUDODIFFERENTIAL OPERATORS (2002) (21)
- EXTENSION THEORY FOR ELLIPTIC PARTIAL DIFFERENTIAL OPERATORS WITH PSEUDODIFFERENTIAL METHODS (2010) (20)
- Fractional-order operators: Boundary problems, heat equations (2017) (20)
- Perturbation of essential spectra of exterior elliptic problems (2008) (19)
- Remarks on trace estimates for exterior boundary problems (1984) (18)
- A Weakly Polyhomogeneous Calculus for Pseudodifferential Boundary Problems (2001) (18)
- On the Logarithm Component in Trace Defect Formulas (2004) (18)
- Poles of Zeta and Eta Functions for Perturbations¶of the Atiyah–Patodi–Singer Problem (2001) (18)
- Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators (2016) (18)
- 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 (1991) (16)
- Initial value problems for the Navier-Stokes equations with neumann conditions (1992) (15)
- Remainder estimates for eigenvalues and kernels of pseudo-differential elliptic systems. (1978) (14)
- Spectral asymptotic for douglis-nirenberg ellipitic and pseudo-differential boundary problem (1977) (12)
- Limited regularity of solutions to fractional heat and Schrödinger equations (2018) (11)
- Logarithmic Terms in Trace Expansions of Atiyah–Patodi–Singer Problems (2003) (11)
- Fractional‐order operators on nonsmooth domains (2020) (9)
- Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 (2005) (9)
- Trace formulas for parameter-dependent pseudodifferential operators (2002) (9)
- NONHOMOGENEOUS NAVIER-STOKES PROBLEMS IN Lp SOBOLEV SPACES OVER EXTERIOR AND INTERIOR DOMAINS (1998) (9)
- Spectral asymptotics for resolvent differences of elliptic operators with $\delta$ and $\delta^\prime$-interactions on hypersurfaces (2014) (9)
- The sectorial projection defined from logarithms (2011) (8)
- LOGARITHMS AND SECTORIAL PROJECTIONS FOR ELLIPTIC BOUNDARY PROBLEMS (2007) (8)
- Boundary problems for mu-transmission pseudodifferential operators, including fractional Laplacians (2014) (8)
- Analysis of Invariants Associated with Spectral Boundary Problems for an Elliptic Operator (2004) (7)
- REMARKS ON NONLOCAL TRACE EXPANSION COEFFICIENTS (2005) (6)
- Exact Green's formula for the fractional Laplacian and perturbations (2019) (6)
- Complex powers of pseudo-differential boundary value problems with the transmission property (1987) (6)
- Pseudodifferential Boundary Problems and Applications (1990) (6)
- Parametrized Pseudodifferential Operators and Geometric Invariants (1997) (5)
- A pseudo-differential treatment of general inhomogeneous initial-boundary value problems for the Navier-Stokes equation (1988) (5)
- Reduction of the fundamental initial-boundary-value problems for Stokes equations to initial-boundary-value problems for parabolic systems of pseudodifferential equations (1990) (4)
- Resolvents for fractional-order operators with nonhomogeneous local boundary conditions (2021) (4)
- Microlocal analysis and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989 (1991) (4)
- Integration by parts for nonsymmetric fractional-order operators on a halfspace (2020) (4)
- Trace defect formulas and zeta values for boundary problems (2007) (3)
- Fourier methods for fractional-order operators (2022) (3)
- Spectral theory for boundary value problems for elliptic systems of mixed order (1974) (3)
- The local and global parts of the basic zeta coefficient for pseudodifferential boundary operators (2006) (3)
- Pseudodifferential methods for boundary value problems (2009) (2)
- Factorization of fractional-order pseudodifferential operators, integration by parts, and a Pohozaev identity (2015) (2)
- Semigroups of operators (2009) (2)
- The principal transmission condition (2021) (2)
- Coerciveness of the normal boundary problems for an elliptic operator (1970) (2)
- Corrigendum to: “Integration by parts for nonsymmetric fractional-order operators on a halfspace” [J. Math. Anal. Appl. 499 (2021) 125012] (1)
- Semibounded boundary problems for elliptic operators (1973) (1)
- Complete heat trace, resolvent and zeta expansions for general Atiyah-Patodi-Singer problems (1996) (1)
- Weyl asymptotics for fractional-order Dirichlet realizations in nonsmooth cases (2022) (1)
- Function spaces and approximation (2009) (1)
- Distributions. Examples and rules of calculus (2009) (1)
- The local and global parts of the basic zeta coefficient for operators on manifolds with boundary (2006) (1)
- Unbounded linear operators (2009) (0)
- Boundary value problems in a constant-coefficient case (2009) (0)
- Realizations and Sobolev spaces (2009) (0)
- Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators (2013) (0)
- Asymptotic behavior of the spectrum of singular Green operators (1984) (0)
- Pseudodifferential boundary operators (2009) (0)
- On the spectral theory of pseudo-differential elliptic boundary problems (1983) (0)
- Singular perturbations and parameter-dependent pseudo-differential boundary problems (1986) (0)
- Foreword [The Öresund Symposium on Partial Differential Equations]. (2003) (0)
- Inequalities for boundary value problems for systems of partial differential operators (2019) (0)
- Trace estimates for exterior boundary problems associated with the Schrödinger operator (1986) (0)
- Families of extensions (2009) (0)
- Essential Spectra of Elliptic Systems on Compact Manifolds (2009) (0)
- Applications to differential operators. The Sobolev theorem (2009) (0)
- Inequalities for boundary value problems for systems of partial differential operators (2019) (0)
- Asymptotic analysis of operator families and applications to resonant media (2022) (0)
- Screened hydrogenic radial integrals. (1989) (0)
- Standard Pseudodifferential Boundary Problems and Their Realizations (1996) (0)
- FRACTIONAL-ORDER OPERATORS WITH REAL KERNEL, PARTIAL INTEGRATION OVER A HALFSPACE (2020) (0)
- Pseudodifferential operators on open sets (2009) (0)
- Elliptic Boundary Problems (2017) (0)
- Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non cylindriques)@@@The Atiyah-Patodi-Singer problem for manifolds with general (non-cylindrical) boundary (1991) (0)
- LIMITED REGULARITY OF SOLUTIONS TO FRACTIONAL HEAT AND SCHR(cid:127)ODINGER EQUATIONS (2019) (0)
- The Calculus of Parameter-Dependent Operators (1986) (0)
- Parametrix and Resolvent Constructions (1986) (0)
- OF ATIYAH-PATODI-SINGER PROBLEMS (2003) (0)
- Analysis of Singular Spaces MSRI September 2008 Index theory introduction (2008) (0)
- Trace formulas for parameter-dependent pseudodi erential operatorsGerd (2007) (0)
- Pseudodifferential operators on manifolds, index of elliptic operators (2009) (0)
- Fourier transformation of distributions (2009) (0)
- Motivation and overview (2009) (0)
- Distributions and operators / Gerd Grubb (2009) (0)
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