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|Type:||Artigo de periódico|
|Title:||On Existence And Scattering Theory For The Klein-gordon-schrodinger System In An Infinite -norm Setting|
Lucas C. F.; Villamizar-Roa
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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