Gerd Grubb

Gerd Grubb

Professor, emeritus

ORCID: 0000-0001-8825-1303

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  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  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

    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

  17. 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

  18. 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

  19. 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

  20. 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

  21. 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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. 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

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. Published

    Matematiske orkaner

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

    Research output: Contribution to journal › Journal article › Research

  34. Published

    Moderne Analyse med Anvendelser Matematik 3MA

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

    Research output: Book/Report › Book › Education

  35. 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

  36. 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

  37. 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

  38. 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

  39. 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

  40. 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

  41. 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

  42. 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

  43. 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

  44. 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

  45. 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

  46. 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

  47. 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

  48. 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

  49. 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

  50. 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

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