Asymptotic behavior of solutions to a system of schrödinger equations

Xavier Carvajal; Pedro Gamboa; Šárka Nečasov’A; Huy Hoang Nguyen; Octavio Vera

Asymptotic behavior of solutions to a system of schrödinger equations

Xavier Carvajal
, Pedro Gamboa
, Šárka Nečasov’A
, Huy Hoang Nguyen
, Octavio Vera

Universidade Federal do Rio de Janeiro
Czech Academy of Sciences
Universidad del Bío-Bío

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

This article concerns the behaviour of solutions to a coupled system of Schrödinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.

Idioma original	Inglés
Número de artículo	171
Publicación	Electronic Journal of Differential Equations
Volumen	2017
Estado	Publicada - 7 jul. 2017
Publicado de forma externa	Sí

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title = "Asymptotic behavior of solutions to a system of schr{\"o}dinger equations",

abstract = "This article concerns the behaviour of solutions to a coupled system of Schr{\"o}dinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.",

keywords = "Blow-up, Coupled Schr{\"o}dinger system, Energy conservation, Global solution, Growth of solutions, Well-posedness",

author = "Xavier Carvajal and Pedro Gamboa and {\v S}{\'a}rka Ne{\v c}asov{\textquoteright}A and Nguyen, \{Huy Hoang\} and Octavio Vera",

note = "Publisher Copyright: {\textcopyright} 2017 Texas State University.",

year = "2017",

month = jul,

day = "7",

language = "English",

volume = "2017",

journal = "Electronic Journal of Differential Equations",

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AU - Carvajal, Xavier

AU - Gamboa, Pedro

AU - Nečasov’A, Šárka

AU - Nguyen, Huy Hoang

AU - Vera, Octavio

PY - 2017/7/7

Y1 - 2017/7/7

N2 - This article concerns the behaviour of solutions to a coupled system of Schrödinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.

AB - This article concerns the behaviour of solutions to a coupled system of Schrödinger equations that has applications in many physical problems, especially in nonlinear optics. In particular, when the solution exists globally, we obtain the growth of the solutions in the energy space. Finally, some conditions are also obtained for having blow-up in this space.

KW - Blow-up

KW - Coupled Schrödinger system

KW - Energy conservation

KW - Global solution

KW - Growth of solutions

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85024132677

M3 - Article

AN - SCOPUS:85024132677

SN - 1072-6691

VL - 2017

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 171

ER -

Asymptotic behavior of solutions to a system of schrödinger equations

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