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Type: Artigo
Title: On existence and scattering theory for the klein-gordon-schrodinger system in an infinite -norm setting
Author: Banquet, Carlos
Ferreira, Lucas C. F.
Villamizar-Roa, Elder J.
Abstract: This paper is concerned with the initial value problem for the nonlinear Klein-Gordon-Schrodinger (KGS) system in . 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 -spaces, which is an infinite -norm setting. Moreover, we obtain a persistence result in when the initial data belong to this class, which shows that the constructed data-solution map in weak- recovers -regularity. We also prove results of scattering and wave operators in that singular framework
Subject: Sistema de Klein-Gordon-Schrödinger
Equações de Navier-Stokes
Country: Alemanha
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s10231-013-0398-7
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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