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Type: Artigo de periódico
Title: On Existence And Scattering Theory For The Klein-gordon-schrödinger System In An Infinite $l^{2}$<math Xmlns:xlink=><msup><mi>l</mi><mn>2</mn></msup></math>-norm Setting
Author: Banquet C.
Ferreira L.C.F.
Villamizar-Roa E.J.
Abstract: This paper is concerned with the initial value problem for the nonlinear Klein-Gordon-Schrödinger (KGS) system in (Formula presented.). We consider general polynomial nonlinearities that include in particular the classical Yukawa-KGS model. We show existence of local and global mild solutions for the KGS system with initial data in weak (Formula presented.)-spaces, which is an infinite (Formula presented.)-norm setting. Moreover, we obtain a persistence result in (Formula presented.) when the initial data belong to this class, which shows that the constructed data-solution map in weak-(Formula presented.) recovers (Formula presented.)-regularity. We also prove results of scattering and wave operators in that singular framework. © 2014 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.
Rights: fechado
Identifier DOI: 10.1007/s10231-013-0398-7
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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