Conformal conservation law, time decay and scattering for nonlinear wave equations

We study the implications of the conformal conservation law for the time decay of solutions of nonlinear wave equations and present some improvements over previous work of Ginibre and Velo. We also consider the theory of nonlinear scattering and prove asymptotic completeness in a weighted Sobolev sp...

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Veröffentlicht in:Journal d'analyse mathématique (Jerusalem) 2003-01, Vol.91 (1), p.269-295
1. Verfasser: Hidano, Kunio
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the implications of the conformal conservation law for the time decay of solutions of nonlinear wave equations and present some improvements over previous work of Ginibre and Velo. We also consider the theory of nonlinear scattering and prove asymptotic completeness in a weighted Sobolev space.[PUBLICATION ABSTRACT]
ISSN:0021-7670
1565-8538
DOI:10.1007/BF02788791