Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

Nakao Hayashi; Yuichiro Kawahara; Pavel I. Naumkin

doi:10.1016/j.na.2005.10.020

Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

Nakao Hayashi, Yuichiro Kawahara, Pavel I. Naumkin

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

1 Citation (Scopus)

Abstract

We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.

Original language	English
Pages (from-to)	1394-1410
Number of pages	17
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	65
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2005.10.020
Publication status	Published - 2006 Oct 1
Externally published	Yes

Keywords

Lower bounds of time decay
Nonlinear Schrödinger equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2005.10.020

Cite this

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title = "Lower bounds of asymptotics in time of solutions to nonlinear Schr{\"o}dinger equations in 3D",

abstract = "We study sharp time asymptotics of solutions around the final states of nonlinear Schr{\"o}dinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.",

keywords = "Lower bounds of time decay, Nonlinear Schr{\"o}dinger equations",

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

year = "2006",

month = oct,

day = "1",

doi = "10.1016/j.na.2005.10.020",

language = "English",

volume = "65",

pages = "1394--1410",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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AU - Hayashi, Nakao

AU - Kawahara, Yuichiro

AU - Naumkin, Pavel I.

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.

AB - We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.

KW - Lower bounds of time decay

KW - Nonlinear Schrödinger equations

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DO - 10.1016/j.na.2005.10.020

M3 - Article

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VL - 65

SP - 1394

EP - 1410

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

IS - 7

ER -

Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D

Abstract

Keywords

ASJC Scopus subject areas

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