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

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

Abstract

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.

Original language	English
Article number	171
Journal	Electronic Journal of Differential Equations
Volume	2017
State	Published - 7 Jul 2017
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Blow-up
Coupled Schrödinger system
Energy conservation
Global solution
Growth of solutions
Well-posedness

Cite this

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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,

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language = "English",

volume = "2017",

journal = "Electronic Journal of Differential Equations",

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T1 - Asymptotic behavior of solutions to a system of schrödinger equations

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

Abstract

UN SDGs

Keywords

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