Asymptotics of odd solutions for cubic nonlinear Schrödinger equations

Nakao Hayashi; Pavel I. Naumkin

doi:10.1016/j.jde.2008.10.020

Asymptotics of odd solutions for cubic nonlinear Schrödinger equations

Nakao Hayashi, Pavel I. Naumkin

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

6 Citations (Scopus)

Abstract

We consider the Cauchy problem for a cubic nonlinear Schrödinger equation in the case of an odd initial data from H² ∩ H^{0, 2}. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.

Original language	English
Pages (from-to)	1703-1722
Number of pages	20
Journal	Journal of Differential Equations
Volume	246
Issue number	4
DOIs	https://doi.org/10.1016/j.jde.2008.10.020
Publication status	Published - 2009 Feb 15
Externally published	Yes

Keywords

Asymptotics of solutions
Nonlinear Schrödinger equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2008.10.020

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title = "Asymptotics of odd solutions for cubic nonlinear Schr{\"o}dinger equations",

abstract = "We consider the Cauchy problem for a cubic nonlinear Schr{\"o}dinger equation in the case of an odd initial data from H2 ∩ H0, 2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.",

keywords = "Asymptotics of solutions, Nonlinear Schr{\"o}dinger equations",

author = "Nakao Hayashi and Naumkin, {Pavel I.}",

year = "2009",

month = feb,

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pages = "1703--1722",

journal = "Journal of Differential Equations",

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T1 - Asymptotics of odd solutions for cubic nonlinear Schrödinger equations

AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

PY - 2009/2/15

Y1 - 2009/2/15

N2 - We consider the Cauchy problem for a cubic nonlinear Schrödinger equation in the case of an odd initial data from H2 ∩ H0, 2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.

AB - We consider the Cauchy problem for a cubic nonlinear Schrödinger equation in the case of an odd initial data from H2 ∩ H0, 2. We prove the global existence in time of solutions to the Cauchy problem and construct the modified asymptotics for large values of time.

KW - Asymptotics of solutions

KW - Nonlinear Schrödinger equations

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DO - 10.1016/j.jde.2008.10.020

M3 - Article

AN - SCOPUS:58349100446

VL - 246

SP - 1703

EP - 1722

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 4

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