Artículos de revistas
On Existence And Scattering Theory For The Klein-gordon-schrodinger System In An Infinite -norm Setting
Registro en:
On Existence And Scattering Theory For The Klein-gordon-schrodinger System In An Infinite -norm Setting. Springer Heidelberg, v. 194, p. 781-804 JUN-2015.
0373-3114
WOS:000354386600008
10.1007/s10231-013-0398-7
Autor
Banquet
Carlos; Ferreira
Lucas C. F.; Villamizar-Roa
Elder J.
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. 194 3
781 804 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)