Gerd Grubb

Gerd Grubb

Professor, emeritus

ORCID: 0000-0001-8825-1303

Publication year:
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1 - 25 out of 70Page size: 25
  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

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