On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite $$L^{2}$$ L 2 -norm setting
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| 024 | 7 | 0 | |a 10.1007/s10231-013-0398-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0398-7 | ||
| 245 | 0 | 0 | |a On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite $$L^{2}$$ L 2 -norm setting |h [Elektronische Daten] |c [Carlos Banquet, Lucas Ferreira, Elder Villamizar-Roa] |
| 520 | 3 | |a This paper is concerned with the initial value problem for the nonlinear Klein-Gordon-Schrödinger (KGS) system in $$\mathbb {R}^{n}\times \mathbb {R},\, n\ge 1$$ R n × R , n ≥ 1 . 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 $$L^{r}$$ L r -spaces, which is an infinite $$L^{2}$$ L 2 -norm setting. Moreover, we obtain a persistence result in $$H^{s}$$ H s when the initial data belong to this class, which shows that the constructed data-solution map in weak- $$L^{r}$$ L r recovers $$H^{s} $$ H s -regularity. We also prove results of scattering and wave operators in that singular framework. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Klein-Gordon-Schrödinger system |2 nationallicence | |
| 690 | 7 | |a Local and global solutions |2 nationallicence | |
| 690 | 7 | |a Scattering theory |2 nationallicence | |
| 690 | 7 | |a Weak- $$L^{p}$$ L p spaces |2 nationallicence | |
| 700 | 1 | |a Banquet |D Carlos |u Departamento de Matemáticas y Estadística, Universidad de Córdoba, A.A. 354, Montería, Colombia |4 aut | |
| 700 | 1 | |a Ferreira |D Lucas |u IMECC - Departamento de Matemática, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda, 651, CEP13083-859, Campinas, SP, Brazil |4 aut | |
| 700 | 1 | |a Villamizar-Roa |D Elder |u Escuela de Matemáticas, Universidad Industrial de Santander, A.A.678, Bucaramanga, Colombia |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 781-804 |x 0373-3114 |q 194:3<781 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0398-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0398-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Banquet |D Carlos |u Departamento de Matemáticas y Estadística, Universidad de Córdoba, A.A. 354, Montería, Colombia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ferreira |D Lucas |u IMECC - Departamento de Matemática, Universidade Estadual de Campinas, Rua Sérgio Buarque de Holanda, 651, CEP13083-859, Campinas, SP, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Villamizar-Roa |D Elder |u Escuela de Matemáticas, Universidad Industrial de Santander, A.A.678, Bucaramanga, Colombia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 781-804 |x 0373-3114 |q 194:3<781 |1 2015 |2 194 |o 10231 | ||