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Erik Skibsted

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  1. 2023
  2. Published
    Stationary Scattering Theory: The N-Body Long-Range Case. / Skibsted, E.
    In: Communications in Mathematical Physics, Vol. 401, No. 2, 07.2023, p. 2193-2267.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  3. 2022
  4. Published
    Stationary scattering theory for one-body Stark operators, I. / Adachi, T.; Itakura, K.; Ito, Kenichi et al.
    In: Pure and Applied Functional Analysis, Vol. 7, No. 3, 2022, p. 825-861.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  5. Published
    Stationary Scattering Theory for One-body Stark Operators, II. / Ito, Kenichi; Skibsted, Erik.
    In: Annales Henri Poincare, Vol. 23, No. 2, 2022, p. 513-548.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  6. 2021
  7. Published
    New methods in spectral theory of N -body Schrödinger operators. / Adachi, T.; Itakura, K.; Ito, K. et al.
    In: Reviews in Mathematical Physics, Vol. 33, No. 5, 2150015, 06.2021.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  8. Published
    stationary scattering theory on manifolds. / Ito, Kenichi; Skibsted, Erik.
    In: Annales de l'Institut Fourier, Vol. 71, 2021, p. 1065–1119.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  9. 2020
  10. Published
    Radiation condition bounds on manifolds with ends. / Ito, K.; Skibsted, E.
    In: Journal of Functional Analysis, Vol. 278, No. 9, 108449, 15.05.2020.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  11. Published
    Commutator Methods for N-Body Schrödinger Operators. / Adachi, T.; Itakura, K.; Ito, K. et al.
    Spectral Theory and Mathematical Physics. ed. / Pablo Miranda; Nicolas Popoff; Georgi Raikov. Springer, 2020. p. 1-15 (Latin American Mathematics Series).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  12. Published
    Spectral theory for 1-body Stark operators. / Adachi, T.; Itakura, K.; Ito, K. et al.
    In: Journal of Differential Equations, Vol. 268, No. 9, 2020, p. 5179-5206.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  13. Published
    Spectral theory on manifolds. / Ito, K.; Skibsted, Erik.
    The Role of Metrics in the Theory of Partial Differential Equations. Mathematical Society of Japan, 2020. p. 193-203 (Advanced studies in pure mathematics, Vol. 85).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  14. 2019
  15. Published
    Time-dependent scattering theory on manifolds. / Ito, K.; Skibsted, E.
    In: Journal of Functional Analysis, Vol. 277, No. 5, 09.2019, p. 1423-1468.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  16. 2017
  17. Published
    Decay of eigenfunctions of elliptic PDE's. / Skibsted, Erik; Herbst, I.
    In: RIMS Kokyuroku, Vol. RIMS Kokyuroku , No. 2023, 04.2017, p. 35-39.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Conference article › Research

  18. Published
    Decay of eigenfunctions of elliptic PDE's, II. / Herbst, I; Skibsted, E.
    In: Advances in Mathematics, Vol. 306, 14.01.2017, p. 177-199.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  19. 2016
  20. Published
    Rellich’s theorem and N-body Schrödinger operators. / Ito, K.; Skibsted, E.
    In: Reviews in Mathematical Physics, Vol. 28, No. 5, 1650010, 2016.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  21. 2015
  22. Published
    Rellich’s theorem, limiting absorption principle and radiation condition on manifold with ends. / Skibsted, Erik; Ito, Kenichi.
    In: RIMS Kokyuroku, Vol. 1975, 27.04.2015, p. 117-126.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Conference article › Research

  23. Published
    Decay of eigenfunctions of elliptic PDE's, I. / Herbst, Ira; Skibsted, Erik.
    In: Advances in Mathematics, Vol. 270, 2015, p. 138-180.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  24. 2014
  25. Published
    Absence of embedded eigenvalues for the Schrödinger operator on manifolds. / Skibsted, Erik; Ito, Kenichi.
    2014. Paper presented at RIMS workshop, Japan.

    Research output: Contribution to conference › Paper › Research

  26. Published
    Absence of positive eigenvalues for hard-core N-body systems. / Ito, Kenichi; Skibsted, Erik.
    In: Annales Henri Poincare, Vol. 15 , No. 12, 2014, p. 2379-2408.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  27. Published
    Renormalized two-body low-energy scattering. / Skibsted, Erik.
    In: Journal d'Analyse Mathematique, Vol. 122, No. 1, 2014, p. 25-68.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  28. 2013
  29. Published
    Absence of embedded eigenvalues for Riemannian Laplacians. / Ito, K.; Skibsted, Erik.
    In: Advances in Mathematics, Vol. 248, 2013, p. 945-962.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  30. Published
    Absence of positive eigenvalues for hard-core N-body systems. / Ito, K.; Skibsted, Erik.
    XVIIth International Congress on Mathematical Physics - ICMP12. ed. / Arne Jensen. World Scientific, 2013. p. 520-527.

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  31. Published
    Decay of eigenfunctions of elliptic PDE's. / Herbst, Ira; Skibsted, Erik.
    Department of Mathematics, Aarhus University, 2013.

    Research output: Working paper/Preprint › Working paper › Research

  32. Published
    Global solutions to the eikonal equation. / Cruz-Sampedro, J.; Skibsted, Erik.
    In: Journal of Differential Equations, Vol. 255, No. 12, 2013, p. 4337-4377.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  33. Published
    Scattering theory for Riemannian Laplacians. / Ito, K.; Skibsted, E.
    In: Journal of Functional Analysis, Vol. 264, No. 8, 2013, p. 1929-1974.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  34. Published
    Sommerfeld radiation condition at threshold. / Skibsted, Erik.
    In: Communications in Partial Differential Equations, Vol. 38 , No. 9, 2013, p. 1601-1625.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  35. 2012
  36. Published
    Absence of positive eigenvalues for hard-core N-body systems. / Ito, K.; Skibsted, Erik.
    Department of Mathematics, Aarhus University, 2012.

    Research output: Working paper/Preprint › Working paper › Research

  37. Published
    Renormalized two-body low-energy scattering. / Skibsted, Erik.
    Department of Mathematics, Aarhus University, 2012.

    Research output: Working paper/Preprint › Working paper › Research

  38. 2011
  39. Published
    Absence of embedded eigenvalues for Riemannian Laplacians. / Ito, Kenichi; Skibsted, Erik.
    Department of Mathematics, Aarhus University, 2011.

    Research output: Working paper/Preprint › Working paper › Research

  40. Published
    Scattering theory for Riemannian Laplacians. / Ito, Kenichi; Skibsted, Erik.
    Department of Mathematics, Aarhus University, 2011.

    Research output: Working paper/Preprint › Working paper › Research

  41. Published
    Sommerfeld radiation condition at threshold. / Skibsted, Erik.
    Aarhus University, Department of Mathematical Sciences, 2011.

    Research output: Working paper/Preprint › Working paper › Research

  42. Published
    Global solutions to the eikonal equation. / Cruz-Sampedro, J.; Skibsted, Erik.
    Aarhus University, Department of Mathematical Sciences, 2011.

    Research output: Working paper/Preprint › Working paper › Research

  43. Published
    Analyticity estimates for the Navier-Stokes equations. / Herbst, I.; Skibsted, Erik.
    In: Advances in Mathematics, Vol. 228, No. 4, 2011, p. 1990-2033.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  44. Published
    Regularity of Bound States. / Faupin, Jeremy; Møller, Jacob Schach; Skibsted, Erik.
    In: Reviews in Mathematical Physics, Vol. 23, No. 5, 2011, p. 453-530.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  45. Published
    Second order perturbation theory for embedded eigenvalues. / Faupin, Jeremy; Møller, Jacob Schach; Skibsted, Erik.
    In: Communications in Mathematical Physics, Vol. 306, No. 1, 2011, p. 193-228.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  46. Published
    Sommerfeld radiation condition at threshold. / Skibsted, Erik.
    Spectral and Scattering Theory and Related Topics. ed. / Kazushi Yoshitomi. Kyoto University: Research Institute for Mathematical Sciences (RIMS), 2011. (RIMS Kôkyûroku; No. 1760).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research

  47. Published
    Two-body threshold spectral analysis, the critical case. / Skibsted, Erik; Wang, X.P.
    In: Journal of Functional Analysis, Vol. 260, No. 6, 2011, p. 1766-1794.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  48. 2010
  49. Published
    Two-body threshold spectral analysis, the critical case. / Skibsted, Erik; Wang, Xue Ping.
    Århus: Aarhus University, Department of Mathematical Sciences, 2010.

    Research output: Working paper/Preprint › Working paper › Research

  50. 2009
  51. Published
    Analyticity estimates for the Navier-Stokes equations. / Herbst, I.; Skibsted, Erik.
    Århus: Department of Mathematical Sciences, Aarhus University, 2009.

    Research output: Working paper/Preprint › Working paper › Research

  52. Published
    Quantum scattering at low energies. / Derezinski, Jan; Skibsted, Erik.
    In: Journal of Functional Analysis, Vol. 257, No. 6, 2009, p. 1828-1920.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  53. Published
    Scattering at zero energy for attractive homogeneous potentials. / Derezinski, Jan; Skibsted, Erik.
    In: Annales Henri Poincare, Vol. 10, No. 3, 2009, p. 549-571.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  54. 2008
  55. Published
    Absence of quantum states corresponding to unstable classical channels. / Herbst, Ira; Skibsted, Erik.
    In: Annales Henri Poincare, Vol. 9, 2008, p. 509-552.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  56. Published
    Classical scattering at low energies. / Skibsted, Erik; Derezinski, Jan.
    Perspectives in operator algebras and mathematical physics: conference proceedings, Bucharest, august 10-17, 2005. Theta Foundation, 2008. p. 51-83 (Theta series in advanced mathematics).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  57. 2007
  58. Published
    Quantum scattering at low energies. / Derezinski, Jan; Skibsted, Erik.
    Århus: Department of Mathematical Sciences , University of Aarhus, 2007.

    Research output: Working paper/Preprint › Working paper › Research

  59. Published
    Spiraling attractors and quantum dynamics for a class of long-range magnetic fields. / Cornean, Horia; Herbst, Ira; Skibsted, E.
    In: Journal of Functional Analysis, Vol. 247, No. 1, 2007, p. 1-94.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  60. 2006
  61. Published
    Classical scattering at low energies. / Derezinski, J.; Skibsted, E.
    2006.

    Research output: Working paper/Preprint › Working paper › Research

  62. Published
    Long-range scattering at low energies. / Skibsted, E.
    Spectral and Scattering Theory and Related Topics. Vol. 198 pages No.: 7. ed. RIMS, 2006. p. 104--108.

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research

  63. 2005
  64. Published
    Quantum scattering for potentials independent of |x|: Asymptotic completeness for high and low energies. / Herbst, I.; Skibsted, E.
    In: Comm. Partial Differential Equations, Vol. 29, No. 3-4, 2005, p. 547-610.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  65. Published
    Zero energy asymptotics of the resolvent in the long-range case. / Skibsted, E.; Fournais, Søren.
    XIVth International Congress on Mathematical Physics: Lisbon 28 July -- 2 August 2003. ed. / Jean-Claude Zambrini. World Scientific, 2005. p. 611-618.

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research

  66. 2004
  67. Published
    Spectral theory of time-periodic many-body systems. / Møller, Jacob Schach; Skibsted, Erik.
    In: Advances in Mathematics, Vol. 188, 2004, p. 137-221.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  68. Published
    Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. / Fournais, Søren; Skibsted, E.
    In: Math. Z., Vol. 248, No. 3, 2004, p. 593-633.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  69. 2003
  70. Published
    Absence of quantum states corresponding to unstable classical channels: homogeneous potentials of degree zero. / Herbst, I.; Skibsted, E.
    Århus: MaPhySto, Aarhus Universitet, 2003.

    Research output: Working paper/Preprint › Working paper › Research

  71. Published
    Long-range scattering of three-body quantum systems: Asymptotic completeness. / Skibsted, E.
    In: Inventiones Mathematicae, Vol. 151, 2003, p. 65-99.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  72. Published
    Long-range scattering of three-body quantum systems, II. / Skibsted, E.
    In: Annales Henri Poincare, Vol. 4, No. 2, 2003, p. 276-299.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  73. 2002
  74. Published
    Asymptotic absolute continuity for perturbed time-dependent quadratic Hamiltonians. / Skibsted, Erik.
    In: Proceedings - Mathematical Sciences, Vol. 112, No. 1, 2002, p. 209-228.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  75. Published
    Quantum scattering for potentials homogeneous of degree zero. / Herbst, I; Skibsted, Erik.
    Mathematical results in quantum mechanics: a conference on QMATH-8. ed. / Ricardo Weder; Pavel Exner; Bernoit Grébert. American Mathematical Society, 2002. p. 163-169 (Contemporary mathematics, Vol. 307).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research

  76. 1998
  77. Published
    Spectral analysis of N-body systems coupled to a bosonic field. / Skibsted, E.
    In: Rev. Math. Phys., Vol. 10, No. 7, 1998, p. 989-1026.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  78. 1997
  79. Published
    Asymptotic completeness for particles in combined constant electric and magnetic fields. II. / Skibsted, E.
    In: Duke Math. J., Vol. 89, No. 2, 1997, p. 307-350.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  80. 1996
  81. Published
    Asymptotic completeness for N-body Stark Hamiltonians. / Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik.
    In: Communications in Mathematical Physics, Vol. 174, 1996, p. 509-535.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  82. Published
    N-body resolvent estimates. / Gérard, Christian; Isozaki, Hiroshi; Skibsted, E.
    In: J. Math. Soc. Japan, Vol. 48, No. 1, 1996, p. 135-160.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research

  83. Published
    On the asymptotic completeness for particles in constant electromagnetic. / Skibsted, E.
    Partial differential equations and mathematical physics. ed. / Lars Hörmander; Anders Melin. Birkhäuser Verlag, 1996. p. 286-320 (Progress in nonlinear differential equations and their applications, Vol. 21).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  84. 1995
  85. Published
    Free channel Fourier transform in the long-range N-body problem. / Herbst, Ira; Skibsted, E.
    In: J. Anal. Math., Vol. 65, 1995, p. 297-332.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research

  86. Published
    Spectral analysis of N-body Stark Hamiltonians. / Herbst, Ira; Møller, Jacob Schach; Skibsted, Erik.
    In: Communications in Mathematical Physics, Vol. 174, 1995, p. 261-294.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  87. Published
    Spectral analysis of N-body Stark Hamiltonians. / Herbst, Ira; Skibsted, E.
    Mathematical quantum theory II: Schrödinger operators. ed. / J. Feldman; R. Froese; L.M. Rosen. American Mathematical Society, 1995. p. 277-284 (CRM proceedings and lecture notes, Vol. 8).

    Research output: Contribution to book/anthology/report/proceeding › Article in proceedings › Research › peer-review

  88. 1994
  89. Published
    Absolute spectral continuity for N-body Stark Hamiltonians. / Skibsted, E.
    In: Ann. Inst. H. Poincaré Phys. Théor., Vol. 61, No. 2, 1994, p. 223-243.

    Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

  90. Published
    Commutator algebra and resolvent estimates. / Gérard, Christian; Isozaki, Hiroshi; Skibsted, E.
    Spectral and scattering theory and applications. ed. / K. Yajima. Tokyo: Math. Soc. Japan, 1994. p. 69-82 (Advanced studies in pure mathematics).

    Research output: Contribution to book/anthology/report/proceeding › Book chapter › Research