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Russian Mathematical Surveys, 2010, Volume 65, Issue 1, Pages 95–142
DOI: https://doi.org/10.1070/RM2010v065n01ABEH004662 (Mi rm9340) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Dispersive estimates for the Schrödinger and Klein–Gordon equations

E. A. Kopylova

A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
English version PDF (749 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/RM2010v065n01ABEH004662
Abstract: This is a survey of results on the long-time asymptotic behaviour of solutions of the Schrödinger and Klein–Gordon equations in weighted energy norms. Results obtained from 1975 to 2001 in the spectral scattering theory of Agmon, Jensen–Kato, Jensen–Nenciu, and Murata are described for the Schrödinger equation, along with the author's recent results [1]–[3] obtained jointly with A. I. Komech for the Klein–Gordon equation. The methods used develop the spectral approach as applied to relativistic equations.
Bibliography: 40 titles.
Keywords: Schrödinger equation, Klein–Gordon equation, Cauchy problem, long-time asymptotic behaviour, weighted spaces.
Received: 21.12.2009
Bibliographic databases:
Document Type: Article
UDC: 517.955+517.958
MSC: 35B40, 35P05
Language: English
Original paper language: Russian
Citation: E. A. Kopylova, “Dispersive estimates for the Schrödinger and Klein–Gordon equations”, Russian Math. Surveys, 65:1 (2010), 95–142
Citation in format AMSBIB
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\paper Dispersive estimates for the Schr\"odinger and Klein--Gordon equations
\jour Russian Math. Surveys
\yr 2010
\vol 65
\issue 1
\pages 95--142
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    • This publication is cited in the following 13 articles:
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