Gerd Grubb

Gerd Grubb

Professor, emeritus


  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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 proceedingBook chapterResearch

  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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 proceedingReport chapterResearch

  9. Published

    Distributions and operators

    Grubb, Gerd, 2009, New York: Springer. 461 p. (Graduate Texts in Mathematics, Vol. 252).

    Research output: Book/ReportBookResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 proceedingBook chapterResearchpeer-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 journalJournal articleResearchpeer-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 proceedingArticle in proceedingsResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 proceedingBook chapterResearch

  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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-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 journalJournal articleResearchpeer-review

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