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2 results

  • 7 - Dispersive Decay

  • Alexander Komech, Universität Wien, Austria, Elena Kopylova, Universität Wien, Austria
  • Book:
    Attractors of Hamiltonian Nonlinear Partial Differential Equations
    Published online:
    17 September 2021
    Print publication:
    30 September 2021, pp 178-191

  • Summary

    In this chapterwe give a briefsurvey of basic results on the dispersive decay due to P. D’Ancona, M. Beals, M. Beceanu, M. B. Erdo?an, L. Fanelli, M. Goldberg,W. R. Green, V. A. Marchenko, B. Marshall, W. Strauss, S. Wainger, I. Rodnianski, W. Schlag, D. Tataru, K. Yajima, and others. Moreover, we present a new short and simplified proof of the fundamental results on the L^1-L^\infty dispersive decay forthe Schrödingerequation established by J.-L. Journé, A. Soffer, and C. D. Sogge.