Gain in regularity for a coupled nonlinear Schrödinger system

Juan Carlos Ceballos; Mauricio Sepúlveda; Octavio Vera Villagrán

doi:10.5269/bspm.v24i1-2.7439

Gain in regularity for a coupled nonlinear Schrödinger system

Juan Carlos Ceballos
, Mauricio Sepúlveda
, Octavio Vera Villagrán

Departamento de Matemática
Universidad del Bío-Bío
CI2MA
Universidad de Concepción

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We study the gain of regularity for the initial value problem for a coupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.

Original language	English
Pages (from-to)	41-68
Number of pages	28
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	24
Issue number	1-2
DOIs	https://doi.org/10.5269/bspm.v24i1-2.7439
State	Published - 2006
Externally published	Yes

Keywords

Gain of regularity
Schrödinger equations

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10.5269/bspm.v24i1-2.7439

Cite this

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title = "Gain in regularity for a coupled nonlinear Schr{\"o}dinger system",

abstract = "We study the gain of regularity for the initial value problem for a coupled nonlinear Schr{\"o}dinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.",

keywords = "Gain of regularity, Schr{\"o}dinger equations",

author = "Ceballos, \{Juan Carlos\} and Mauricio Sep{\'u}lveda and Villagr{\'a}n, \{Octavio Vera\}",

year = "2006",

doi = "10.5269/bspm.v24i1-2.7439",

language = "English",

volume = "24",

pages = "41--68",

journal = "Boletim da Sociedade Paranaense de Matematica",

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T1 - Gain in regularity for a coupled nonlinear Schrödinger system

AU - Ceballos, Juan Carlos

AU - Sepúlveda, Mauricio

AU - Villagrán, Octavio Vera

PY - 2006

Y1 - 2006

N2 - We study the gain of regularity for the initial value problem for a coupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.

AB - We study the gain of regularity for the initial value problem for a coupled nonlinear Schrödinger system that describes some physical phenomena such as the propagation in birefringent optical fibers, Kerr-like photo refractive media in optics and Bose-Einstein condensates. This study is motivated by the results obtained by N. Hayashi et al.

KW - Gain of regularity

KW - Schrödinger equations

UR - https://www.scopus.com/pages/publications/44149083392

U2 - 10.5269/bspm.v24i1-2.7439

DO - 10.5269/bspm.v24i1-2.7439

M3 - Article

AN - SCOPUS:44149083392

SN - 0037-8712

VL - 24

SP - 41

EP - 68

JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

IS - 1-2

ER -

Gain in regularity for a coupled nonlinear Schrödinger system

Abstract

Keywords

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