Gerd Grubb

Gerd Grubb

Professor, emeritus

ORCID: 0000-0001-8825-1303

Publication year:
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1 - 70 out of 70Page size: 500
  1. 2023
  2. Published

    Fractional‐order operators on nonsmooth domains

    Abels, H. & Grubb, Gerd, 2023, In: Journal of the London Mathematical Society. 107, 4, p. 1297-1350

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

  3. 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

  4. 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

  5. 2022
  6. 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

  7. 2021
  8. 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

  9. 2020
  10. Published

    Exact Green's formula for the fractional Laplacian and perturbations

    Grubb, Gerd, 2020, In: Mathematica Scandinavica. 126, 3, p. 568-592

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

  11. 2019
  12. 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

  13. 2018
  14. 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

  15. 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

  16. 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. 750-789

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

  17. 2016
  18. 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

  19. 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

  20. 2015
  21. 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. 478–528

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

  22. 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

  23. 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

  24. 2014
  25. 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

  26. 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

  27. 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

  28. 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

  29. 2012
  30. 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

  31. 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

  32. 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

  33. 2011
  34. 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

  35. 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

  36. 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

  37. 2009
  38. 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

  39. 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

  40. 2008
  41. 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

  42. 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

  43. 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

  44. 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

  45. 2006
  46. 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

  47. 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

  48. 2005
  49. Published

    A resolvent approach to traces and zeta Laurent expansions

    Grubb, Gerd, 2005, In: Contemporary Mathematics. 366, p. 67-93

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

  50. 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

  51. 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

  52. 2004
  53. 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. 43-64

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

  54. 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

  55. 2003
  56. 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

  57. 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

  58. 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

  59. 2002
  60. Published

    Complex powers of resolvents of pseudodifferential operators

    Grubb, Gerd & Hansen, L., 2002, In: Communications in Partial Differential Equations. 27, p. 2333-2361

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

  61. 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. 14

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

  62. 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

  63. 2001
  64. Published

    A weakly polyhomogeneous calculus for pseudodifferential boundary problems

    Grubb, Gerd, 2001, In: Journal of Functional Analysis. 184, p. 19-76

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

  65. 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

  66. 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

  67. 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

  68. 1999
  69. 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

  70. 1998
  71. 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

  72. 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

  73. 1997
  74. 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

  75. 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

  76. 1996
  77. 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

  78. 1995
  79. 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

  80. 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

  81. 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

  82. 1993
  83. Published

    A global calculus of parameter-dependent pseudodifferential boundary problems in L*Up Sobolev spaces

    Grubb, Gerd & Kokholm, N. J., 1993, In: Uniwersytet Jagiellonski. Zeszyty Naukowe. Acta Mathematica. 171, p. 165-229

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

  84. Published

    Développements asymptotiques pour l'opérateur d'Atiyah-Patodi-Singer

    Grubb, Gerd & Seeley, R. T., 1993, In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 317, p. 1123-1126

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

  85. 1992
  86. Published

    Heat operator trace expansions and index for general Atiyah-Patodi-Singer problems

    Grubb, Gerd, 1992, In: Communications in Partial Differential Equations. 17, p. 2031-2077

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

  87. Published

    Matematiske orkaner

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

    Research output: Contribution to journal › Journal article › Research

  88. Published

    Moderne Analyse med Anvendelser Matematik 3MA

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

    Research output: Book/Report › Book › Education

  89. 1991
  90. Published

    Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods

    Grubb, Gerd & Solonnikov, V. A., 1991, In: Mathematica Scandinavica. 69, p. 217-290

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

  91. Published

    Calcul symbolique et estimations Lp pour les problèmes aux limites pseudo-diffèrentiels paramètrisès

    Grubb, Gerd & Kokholm, N. J., 1991, In: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 312, p. 223-6

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

  92. Published

    Initial value problems for the Navier-Stokes equations with Neumann conditions

    Grubb, Gerd, 1991, The Navier-Stokes equations II - Theory and Numerical methods, Proceedings, Oberwolfach 1991, Lecture Notes in Math. Heidelberg: Springer, Vol. 1530. p. 262-283

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

  93. 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

  94. 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

  95. 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

  96. 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

  97. 1990
  98. 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

ID: 4344