Classical solutions of nonlinear Schrödinger equations

Nakao Hayashi

doi:10.1007/BF01168683

Classical solutions of nonlinear Schrödinger equations

Nakao Hayashi

研究成果: Article › 査読

15 被引用数 (Scopus)

抄録

We prove the existence of global classical solutions to the initial value problem for the nonlinear Schrödinger equation, iu_t-Δu+q(|u|²)u=0 in iu_t - Δu + (|u|²)u = in (t, x)e{open}ℝxℝⁿ for 6≦n≦11.

本文言語	English
ページ（範囲）	171-190
ページ数	20
ジャーナル	manuscripta mathematica
巻	55
号	2
DOI	https://doi.org/10.1007/BF01168683
出版ステータス	Published - 1986 6 1
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1007/BF01168683

他のファイルとリンク

引用スタイル

@article{313bbf9fc1cc49858b268f851d91afa6,

title = "Classical solutions of nonlinear Schr{\"o}dinger equations",

abstract = "We prove the existence of global classical solutions to the initial value problem for the nonlinear Schr{\"o}dinger equation, iut-Δu+q(|u|2)u=0 in iut - Δu + (|u|2)u = in (t, x)e{open}ℝxℝn for 6≦n≦11.",

author = "Nakao Hayashi",

year = "1986",

month = jun,

day = "1",

doi = "10.1007/BF01168683",

language = "English",

volume = "55",

pages = "171--190",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Classical solutions of nonlinear Schrödinger equations

AU - Hayashi, Nakao

PY - 1986/6/1

Y1 - 1986/6/1

N2 - We prove the existence of global classical solutions to the initial value problem for the nonlinear Schrödinger equation, iut-Δu+q(|u|2)u=0 in iut - Δu + (|u|2)u = in (t, x)e{open}ℝxℝn for 6≦n≦11.

AB - We prove the existence of global classical solutions to the initial value problem for the nonlinear Schrödinger equation, iut-Δu+q(|u|2)u=0 in iut - Δu + (|u|2)u = in (t, x)e{open}ℝxℝn for 6≦n≦11.

UR - http://www.scopus.com/inward/record.url?scp=0040653554&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040653554&partnerID=8YFLogxK

U2 - 10.1007/BF01168683

DO - 10.1007/BF01168683

M3 - Article

AN - SCOPUS:0040653554

VL - 55

SP - 171

EP - 190

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

SN - 0025-2611

IS - 2

ER -

Classical solutions of nonlinear Schrödinger equations

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル