Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Global Attraction to Stationary States
- 2 Global Attraction to Solitons
- 3 Global Attraction to Stationary Orbits
- 4 Asymptotic Stability of Stationary Orbits and Solitons
- 5 Adiabatic Effective Dynamics of Solitons
- 6 Numerical Simulation of Solitons
- 7 Dispersive Decay
- 8 Attractors and Quantum Mechanics
- Bibliography
- Index
7 - Dispersive Decay
Published online by Cambridge University Press: 17 September 2021
- Frontmatter
- Dedication
- Contents
- Preface
- Introduction
- 1 Global Attraction to Stationary States
- 2 Global Attraction to Solitons
- 3 Global Attraction to Stationary Orbits
- 4 Asymptotic Stability of Stationary Orbits and Solitons
- 5 Adiabatic Effective Dynamics of Solitons
- 6 Numerical Simulation of Solitons
- 7 Dispersive Decay
- 8 Attractors and Quantum Mechanics
- Bibliography
- Index
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.
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- Publisher: Cambridge University PressPrint publication year: 2021