Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

Nakao Hayashi; Pavel I. Naumkin

doi:10.1016/j.jmaa.2009.05.009

Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

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

Abstract

We consider the Cauchy problem for a quadratic nonlinear Schrödinger equation in the case of 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)	146-158
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	359
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2009.05.009
Publication status	Published - 2009 Nov 1
Externally published	Yes

Keywords

Asymptotics of solutions
Nonlinear Schrödinger equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2009.05.009

Cite this

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

abstract = "We consider the Cauchy problem for a quadratic nonlinear Schr{\"o}dinger equation in the case of 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.}",

note = "Funding Information: The work of N.H. is partially supported by KAKENHI (No. 20654014). The work of P.I.N. is partially supported by CONACYT.",

year = "2009",

month = nov,

day = "1",

doi = "10.1016/j.jmaa.2009.05.009",

language = "English",

volume = "359",

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journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

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T1 - Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

N1 - Funding Information: The work of N.H. is partially supported by KAKENHI (No. 20654014). The work of P.I.N. is partially supported by CONACYT.

PY - 2009/11/1

Y1 - 2009/11/1

N2 - We consider the Cauchy problem for a quadratic nonlinear Schrödinger equation in the case of 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 quadratic nonlinear Schrödinger equation in the case of 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.jmaa.2009.05.009

M3 - Article

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VL - 359

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EP - 158

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

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ER -

Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations

Abstract

Keywords

ASJC Scopus subject areas

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