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7 - Dispersive Decay

Published online by Cambridge University Press:  17 September 2021

Alexander Komech  and
Elena Kopylova
Alexander Komech
Affiliation:
Universität Wien, Austria
Elena Kopylova
Affiliation:
Universität Wien, Austria
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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.

Keywords

continuous spectrumweighted Sobolev normdispersive decayresolventBorn seriesKlein-Gordon equationSchrödingerequationStrichartz estimatesRollnik classKato class
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Attractors of Hamiltonian Nonlinear Partial Differential Equations , pp. 178 - 191
Publisher: Cambridge University Press
Print publication year: 2021

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  • Dispersive Decay
  • Alexander Komech, Universität Wien, Austria, Elena Kopylova, Universität Wien, Austria
  • Book: Attractors of Hamiltonian Nonlinear Partial Differential Equations
  • Online publication: 17 September 2021
  • Chapter DOI: https://doi.org/10.1017/9781009025454.009
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  • Dispersive Decay
  • Alexander Komech, Universität Wien, Austria, Elena Kopylova, Universität Wien, Austria
  • Book: Attractors of Hamiltonian Nonlinear Partial Differential Equations
  • Online publication: 17 September 2021
  • Chapter DOI: https://doi.org/10.1017/9781009025454.009
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Dispersive Decay
  • Alexander Komech, Universität Wien, Austria, Elena Kopylova, Universität Wien, Austria
  • Book: Attractors of Hamiltonian Nonlinear Partial Differential Equations
  • Online publication: 17 September 2021
  • Chapter DOI: https://doi.org/10.1017/9781009025454.009
Available formats
×