Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/241976
Type: Artigo de periódico
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: Navier-stokes Equation
Self-similar Solutions
Initial Value-problem
L-p Spaces
Nonlinear Schrodinger
Global-solutions
Cauchy-problem
Rough Data
Heat-equations
Well-posedness
Country: HEIDELBERG
Editor: SPRINGER HEIDELBERG
Rights: embargo
Identifier DOI: 10.1007/s10231-013-0398-7
Address: http://link.springer.com/article/10.1007%2Fs10231-013-0398-7
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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