Gerd Grubb

Gerd Grubb

Professor, emeritus

ORCID: 0000-0001-8825-1303

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  1. Published

    Zeta and eta functions for Atiyah-Patodi-Singer operators

    Grubb, Gerd, 1996, In: Journal of Geometric Analysis. 6, p. 31-77

    Research output: Contribution to journal › Journal article › Research › peer-review

  2. Published

    Weyl asymptotics for fractional-order Dirichlet realizations in nonsmooth cases

    Grubb, Gerd, 2023, In: Mathematica Scandinavica. 129, 3, p. 593-612

    Research output: Contribution to journal › Journal article › Research › peer-review

  3. Published

    Weakly parametric pseudodifferential operators and Atiyah-Patodi-Singer problems

    Grubb, Gerd & Seeley, R. T., 1995, In: Inventiones Mathematicae. 121, p. 481-529

    Research output: Contribution to journal › Journal article › Research › peer-review

  4. Published

    Traces and Quasi-traces on the Boutet de Monvel Algerbra

    Grubb, Gerd & Schrohe, E., 2004, In: Annales de l'Institut Fourier. 54, p. 1641-1696

    Research output: Contribution to journal › Journal article › Research › peer-review

  5. Published

    Trace formulas for parameter-dependent pseudodifferential operators

    Grubb, Gerd, 2002, In: Nuclear physics B, Proceedings supplements. 104, p. 71-88

    Research output: Contribution to journal › Journal article › Research › peer-review

  6. Published

    Trace expansions for pseudodifferential boundary problems for Dirac-type operators and more general systems

    Grubb, Gerd, 1999, In: Arkiv for Matematik. 37, p. 45-86

    Research output: Contribution to journal › Journal article › Research › peer-review

  7. 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. 167-207

    Research output: Contribution to journal › Journal article › Research › peer-review

  8. 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. 137-153

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  9. Published

    The transmission property

    Grubb, Gerd & Hörmander, L., 1990, In: Mathematica Scandinavica. 67, p. 273-289

    Research output: Contribution to journal › Journal article › Research › peer-review

  10. 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

  11. Published

    The principal transmission condition

    Grubb, Gerd, 2022, In: Mathematics In Engineering. 4, 4, p. 1-33

    Research output: Contribution to journal › Journal article › Research › peer-review

  12. 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

  13. Published

    The local and global parts of the basic zeta coefficient for pseudodifferential boundary operators

    Grubb, Gerd, 2008, In: Mathematische Annalen. 341, 4, p. 735-788

    Research output: Contribution to journal › Journal article › Research › peer-review

  14. 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. 124

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  15. Published

    Spectral results for mixed problems and fractional elliptic operators,

    Grubb, Gerd, 2015, In: Journal of Mathematical Analysis and Applications. 421 , 2, p. 1616-1634

    Research output: Contribution to journal › Journal article › Research › peer-review

  16. Published

    Spectral boundary conditions for generalizations of Laplace and Dirac operators

    Grubb, Gerd, 2003, In: Communications in Mathematical Physics. 240, p. 243-280

    Research output: Contribution to journal › Journal article › Research › peer-review

  17. 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. 697-729

    Research output: Contribution to journal › Journal article › Research › peer-review

  18. 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

  19. 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

  20. 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. 328

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  21. Published

    Solution dans les espaces de Sobolev Lp anisotropes des problèmes aux limites pseudo-diffèrentiels paraboliques et des problèmes de Stokes

    Grubb, Gerd, 1991, In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 312, p. 89-92

    Research output: Contribution to journal › Journal article › Research › peer-review

  22. 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

  23. 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. 215-234

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  24. Published

    Regularity of spectral fractional Dirichlet and Neumann problems

    Grubb, Gerd, 2016, In: Mathematische Nachrichten. 289, 7, p. 831–844

    Research output: Contribution to journal › Journal article › Research › peer-review

  25. 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. 2634-2660

    Research output: Contribution to journal › Journal article › Research › peer-review

  26. Published

    Pseudodifferential evolution problems

    Grubb, Gerd, 1998, Progress in partial differential equations, Pont-à-Mousson 1997, Volume I. Pitman Research Notes in Mathematics 383. Harlow, U.K.: Addison-Wesley Longman Ltd., p. 149-166

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  27. Published

    Pseudodifferential boundary problems and applications

    Grubb, Gerd, 1997, In: Jahresbericht der Deutschen Mathematiker Vereinigung. 99, p. 110-121

    Research output: Contribution to journal › Journal article › Research › peer-review

  28. 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. 583-589

    Research output: Contribution to journal › Journal article › Research › peer-review

  29. 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

  30. Published

    Parametrized pseudodifferential operators and geometric invariants

    Grubb, Gerd, 1997, Microlocal Analysis and Spectral Theory, CIME Conference September 1996. Holland: Kluwer Law International, p. 115-164

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  31. Published

    Parameter-elliptic and parabolic pseudodifferential boundary problems in global L*Up Sobolev spaces

    Grubb, Gerd, 1995, In: Mathematische Zeitschrift. 218, p. 43-90

    Research output: Contribution to journal › Journal article › Research › peer-review

  32. Published

    Parabolic pseudo-differential boundary problems and applications

    Grubb, Gerd, 1991, Microlocal Analysis and applications, Montecatini terme 1989,. Heidelberg: Springer, p. 46-117 (Lecture Notes in Math., Vol. 1495).

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  33. Published

    On the logarithm component in trace defect formulas

    Grubb, Gerd, 2005, In: Communications in Partial Differential Equations. 30, p. 1671-1716

    Research output: Contribution to journal › Journal article › Research › peer-review

  34. Published

    Nonhomogeneous time-dependent Navier-Stokes problems in L*Up Sobolev spaces

    Grubb, Gerd, 1995, In: Differential and Integral Equations. 8, p. 1013-1046

    Research output: Contribution to journal › Journal article › Research › peer-review

  35. 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. 46-63

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research

  36. Published

    Nonhomogeneous Dirichlet Navier-Stokes problems in low regularity Lp Sobolev spaces

    Grubb, Gerd, 2001, In: Journal of Mathematical Fluid Mechanics. 3, p. 57-81

    Research output: Contribution to journal › Journal article › Research › peer-review

  37. Published

    Moderne Analyse med Anvendelser Matematik 3MA

    Grubb, Gerd, 1992, København: Matematisk Instituts notetrykkeri. 215 p.

    Research output: Book/Report › Book › Education

  38. Published

    Matematiske orkaner

    Grubb, Gerd, 1992, In: Naturligvis. p. 32-33 2 p.

    Research output: Contribution to journal › Journal article › Research

  39. Published

    Matematiki 2MA, Kap. IV, V, VI

    Grubb, Gerd, 1991, Matematik 2MA, Matematisk Analyse, Kap. IV, V, VI. Forelæsningsnoter. København: Matematisk Instituts notetrykkeri, p. 188

    Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Education

  40. 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. 314-347

    Research output: Contribution to journal › Journal article › Research › peer-review

  41. Published

    Logarithms and sectorial projections for elliptic boundary problems

    Grubb, Gerd & Gaarde, A. B., 2008, In: Mathematica Scandinavica. 103, p. 243-277

    Research output: Contribution to journal › Journal article › Research › peer-review

  42. Published

    Logarithmic terms in trace expansions of Atiyah-Patodi-Singer problems

    Grubb, Gerd, 2003, In: Annals of Global Analysis and Geometry. 24, p. 1-51

    Research output: Contribution to journal › Journal article › Research › peer-review

  43. Published

    Local and nonlocal boundary conditions for μ-transmission and fractional elliptic pseudodifferential operators

    Grubb, Gerd, 2014, In: Analysis & PDE. 7, 7, p. 1649-1682

    Research output: Contribution to journal › Journal article › Research › peer-review

  44. 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

  45. Published

    Le problème d'Atiyah-Patodi-Singer pour les variétés à bord générales (non-cylindriques)

    Grubb, Gerd, 1991, In: Journees Equations aux Derivees Partielles. 8, 11 p.

    Research output: Contribution to journal › Journal article › Research › peer-review

  46. 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

  47. Published

    Krein resolvent formulas for elliptic boundary problems in nonsmooth domains

    Grubb, Gerd, 2008, In: Rendiconti del Seminario Matematico. 66, 4, p. 259-297

    Research output: Contribution to journal › Journal article › Research › peer-review

  48. Published

    Known and unknown results on elliptic boundary problems

    Grubb, Gerd, 2006, In: Bulletin of the American Mathematical Society. 43, p. 227-230

    Research output: Contribution to journal › Journal article › Research › peer-review

  49. 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

  50. 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. 1835-1879

    Research output: Contribution to journal › Journal article › Research › peer-review

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