Gerd Grubb
Professor, emeritus
Department of Mathematical Sciences
Universitetsparken 5
2100 København Ø
- 2023
- Published
Fractional‐order operators on nonsmooth domains
Abels, H. & Grubb, Gerd, 2023, In: Journal of the London Mathematical Society. 107, 4, p. 1297-1350Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Resolvents for fractional-order operators with nonhomogeneous local boundary conditions
Grubb, Gerd, 2023, In: Journal of Functional Analysis. 284, 7, 55 p., 109815.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Weyl asymptotics for fractional-order Dirichlet realizations in nonsmooth cases
Grubb, Gerd, 2023, In: Mathematica Scandinavica. 129, 3, p. 593-612Research output: Contribution to journal › Journal article › Research › peer-review
- 2022
- Published
The principal transmission condition
Grubb, Gerd, 2022, In: Mathematics In Engineering. 4, 4, p. 1-33Research output: Contribution to journal › Journal article › Research › peer-review
- 2021
- Published
Integration by parts for nonsymmetric fractional-order operators on a halfspace
Grubb, Gerd, 2021, In: Journal of Mathematical Analysis and Applications. 499, 1, 23 p., 125012.Research output: Contribution to journal › Journal article › Research › peer-review
- 2020
- Published
Exact Green's formula for the fractional Laplacian and perturbations
Grubb, Gerd, 2020, In: Mathematica Scandinavica. 126, 3, p. 568-592Research output: Contribution to journal › Journal article › Research › peer-review
- 2019
- Published
Limited regularity of solutions to fractional heat and Schrödinger equations
Grubb, Gerd, 2019, In: Discrete and Continuous Dynamical Systems- Series A. 39, 6, p. 3609-3634 26 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2018
- Published
Fractional-order operators: Boundary problems, heat equations
Grubb, Gerd, 2018, Mathematical Analysis and Applications-Plenary Lectures - ISAAC 2017. Toft, J. & Rodino, L. G. (eds.). Springer, p. 51-81 31 p. (Springer Proceedings in Mathematics & Statistics, Vol. 262).Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review
- Published
Green's formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators
Grubb, Gerd, 2018, In: Communications in Partial Differential Equations. 43, 5, p. 750-789Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Regularity in Lp Sobolev spaces of solutions to fractional heat equations
Grubb, Gerd, 1 May 2018, In: Journal of Functional Analysis. 274, 9, p. 2634-2660Research output: Contribution to journal › Journal article › Research › peer-review
- 2016
- Published
Integration by parts and Pohozaev identities for space-dependent fractional-order operators
Grubb, Gerd, 5 Aug 2016, In: Journal of Differential Equations. 261, 3, p. 1835-1879Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Regularity of spectral fractional Dirichlet and Neumann problems
Grubb, Gerd, 2016, In: Mathematische Nachrichten. 289, 7, p. 831–844Research output: Contribution to journal › Journal article › Research › peer-review
- 2015
- Published
Spectral asymptotics for resolvent differences of elliptic operators with delta and delta '-interactions on hypersurfaces
Behrndt, J., Grubb, Gerd, Langer, M. & Lotoreichik, V., 2015, In: Journal of Spectral Theory. 5, 4, p. 697-729Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Fractional Laplacians on domains, a development of Hörmander's theory of µ-transmission pseudodifferential operators
Grubb, Gerd, 2015, In: Advances in Mathematics. 268 , p. 478–528Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Spectral results for mixed problems and fractional elliptic operators,
Grubb, Gerd, 2015, In: Journal of Mathematical Analysis and Applications. 421 , 2, p. 1616-1634Research output: Contribution to journal › Journal article › Research › peer-review
- 2014
- Published
Extension Theory and Krein-type Resolvent Formulas for Nonsmooth Boundary Value Problems
Abels, H., Grubb, Gerd & Wood, I. G., 2014, In: Journal of Functional Analysis. 266, 7, p. 4037-4100 64 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Heat kernel estimates for pseudodifferential operators, fractional Laplacians and Dirichlet-to-Neumann operators
Gimperlein, H. & Grubb, Gerd, 2014, In: Journal of Evolution Equations. 14, p. 49-83 35 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Local and nonlocal boundary conditions for μ-transmission and fractional elliptic pseudodifferential operators
Grubb, Gerd, 2014, In: Analysis & PDE. 7, 7, p. 1649-1682Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Spectral asymptotics for nonsmooth singular Green operators
Grubb, Gerd, 2014, In: Communications in Partial Differential Equations. 39, 3, p. 530-573 44 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2012
- Published
Extension theory for elliptic partial differential operators with pseudodifferential methods
Grubb, Gerd, 2012, Operator Methods for Boundary Value Problems. Hassi, S., de Snoo, H. & Szafraniec, F. (eds.). Cambridge: Cambridge University Press, Vol. 404. p. 221-258 38 p. (London Mathematical Society. Lecture Note Series, Vol. 404).Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review
- Published
Krein-like extensions and the lower boundedness problem for elliptic operators on exterior domains
Grubb, Gerd, 2012, In: Journal of Differential Equations. 252, 2, p. 852-885. 34 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The sectorial projection defined from logarithms.
Grubb, Gerd, 2012, In: Mathematica Scandinavica. 111, p. 118-126 9 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2011
- Published
Perturbation of essential spectra of exterior elliptic problems
Grubb, Gerd, 2011, In: Applicable Analysis. 90, 1, p. 103-123 21 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Spectral asymptotics for Robin problems with a discontinuous coefficient
Grubb, Gerd, 2011, In: Journal of Spectral Theory. 1, 2, p. 155-177 23 p.Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The mixed boundary value problem, Krein resolvent formulas and spectral asymptotic estimates
Grubb, Gerd, 2011, In: Journal of Mathematical Analysis and Applications. 382, 1, p. 339–363 24 p.Research output: Contribution to journal › Journal article › Research › peer-review
- 2009
- Published
Distributions and operators
Grubb, Gerd, 2009, New York: Springer. 461 p. (Graduate Texts in Mathematics, Vol. 252).Research output: Book/Report › Book › Research › peer-review
- Published
M-functions for closed extensions of adjoint pairs of operators, with applications to elliptic boundary problems
Grubb, Gerd, Brown, B. M. & Wood, I. G., 2009, In: Mathematische Nachrichten. 282, p. 314-347Research output: Contribution to journal › Journal article › Research › peer-review
- 2008
- Published
Krein resolvent formulas for elliptic boundary problems in nonsmooth domains
Grubb, Gerd, 2008, In: Rendiconti del Seminario Matematico. 66, 4, p. 259-297Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Logarithms and sectorial projections for elliptic boundary problems
Grubb, Gerd & Gaarde, A. B., 2008, In: Mathematica Scandinavica. 103, p. 243-277Research output: Contribution to journal › Journal article › Research › peer-review
- Published
The local and global parts of the basic zeta coefficient for pseudodifferential boundary operators
Grubb, Gerd, 2008, In: Mathematische Annalen. 341, 4, p. 735-788Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Trace defect formulas and zeta values for boundary operators
Grubb, Gerd, 2008, Traces in Geometry, Number Theory and Quantum Fields.: Aspects of Mathematics E 38. Albeverio, S., Marcolli, M., Paycha, S. & Plazas, J. (eds.). Vieweg Verlag, p. 137-153Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 2006
- Published
Known and unknown results on elliptic boundary problems
Grubb, Gerd, 2006, In: Bulletin of the American Mathematical Society. 43, p. 227-230Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Remarks on nonlocal trace expansion coeffients
Grubb, Gerd, 2006, ANALYSIS, GEOMETRY AND TOPOLOGY OF ELLIPTIC OPERATORS: Papers in Honor of Krzysztof P Wojciechowski. Singapore: World Scientific, p. 215-234Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 2005
- Published
A resolvent approach to traces and zeta Laurent expansions
Grubb, Gerd, 2005, In: Contemporary Mathematics. 366, p. 67-93Research output: Contribution to journal › Journal article › Research › peer-review
- Published
On the logarithm component in trace defect formulas
Grubb, Gerd, 2005, In: Communications in Partial Differential Equations. 30, p. 1671-1716Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds
Grubb, Gerd & Booss-Bavnbek, B., 2005, Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds. 366 ed. Providenc, Rhode Islands: American Mathematical Society, p. 328Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- 2004
- Published
Analysis of invariants associated with spectral boundary problems for elliptic operators
Grubb, Gerd, 2004, Analysis of invariants associated with spectral boundary problems for elliptic operators. 366 ed. Providence, Rhode Island: American Mathematical Society, p. 43-64Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
Traces and Quasi-traces on the Boutet de Monvel Algerbra
Grubb, Gerd & Schrohe, E., 2004, In: Annales de l'Institut Fourier. 54, p. 1641-1696Research output: Contribution to journal › Journal article › Research › peer-review
- 2003
- Published
The "Oresund Symposium on Partial Differential Equations"
Constantin, A. & Grubb, Gerd, 2003, The "Oresund Symposium on Partial Differential Equations". 10 ed. Luleå, Sweden: Samlignsnummer för enstaka enskilt utgivna arbeteb, p. 124Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
- Published
Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems
Grubb, Gerd, 2003, In: Annals of Global Analysis and Geometry. 24, p. 1-51Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Spectral boundary conditions for generalizations of Laplace and Dirac operators
Grubb, Gerd, 2003, In: Communications in Mathematical Physics. 240, p. 243-280Research output: Contribution to journal › Journal article › Research › peer-review
- 2002
- Published
Complex powers of resolvents of pseudodifferential operators
Grubb, Gerd & Hansen, L., 2002, In: Communications in Partial Differential Equations. 27, p. 2333-2361Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Conditions au bord spectrales et formules de trace
Grubb, Gerd, 2002, Séminaire Équations aux Dérivées Partielles 2001-2002. Palaiseau, France: Centre des Mathématiques, École Polytechnique, p. Exposé no. 14Research output: Chapter in Book/Report/Conference proceeding › Report chapter › Research
- Published
Trace formulas for parameter-dependent pseudodifferential operators
Grubb, Gerd, 2002, In: Nuclear physics B, Proceedings supplements. 104, p. 71-88Research output: Contribution to journal › Journal article › Research › peer-review
- 2001
- Published
A weakly polyhomogeneous calculus for pseudodifferential boundary problems
Grubb, Gerd, 2001, In: Journal of Functional Analysis. 184, p. 19-76Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity Lp Sobolev spaces
Grubb, Gerd, 2001, In: Journal of Mathematical Fluid Mechanics. 3, p. 57-81Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem
Grubb, Gerd, 2001, In: Communications in Mathematical Physics. 215, p. 583-589Research output: Contribution to journal › Journal article › Research › peer-review
- Published
Trace expansions and the noncommutative residue for manifolds with boundary
Grubb, Gerd & Schrohe, E., 2001, In: Journal fur die Reine und Angewandte Mathematik. 536, p. 167-207Research output: Contribution to journal › Journal article › Research › peer-review
- 1999
- Published
Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems
Grubb, Gerd, 1999, In: Arkiv for Matematik. 37, p. 45-86Research output: Contribution to journal › Journal article › Research › peer-review
- 1998
- Published
Nonhomogeneous Navier-Stokes problems in Lp Sobolev spaces over exterior and interior domains
Grubb, Gerd, 1998, Theory of the Navier-Stokes equations. Singapore: World Scientific, p. 46-63Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research
ID: 4344
Most downloads
-
35
downloads
Exact Green's formula for the fractional Laplacian and perturbations
Research output: Contribution to journal › Journal article › Research › peer-review
Published -
26
downloads
The principal transmission condition
Research output: Contribution to journal › Journal article › Research › peer-review
Published