Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

Gaku Hoshino; Tohru Ozawa

Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

研究成果: Article › 査読

抄録

We study the Cauchy problem for the cubic hyperbolic Schrödinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.

本文言語	English
ジャーナル	Electronic Journal of Differential Equations
巻	2016
出版ステータス	Published - 2016 1 25

ASJC Scopus subject areas

Analysis

他のファイルとリンク

フィンガープリント「Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{2658519002234fb3b28a07295ce8fd9a,

title = "Analytic smoothing effect for the cubic hyperbolic schr{\"o}dinger equation in two space dimensions",

abstract = "We study the Cauchy problem for the cubic hyperbolic Schr{\"o}dinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.",

keywords = "Analytic smoothing effect, Global solution, Non elliptic Schr{\"o}dinger equation, Nonlinear Schr{\"o}dinger equation",

author = "Gaku Hoshino and Tohru Ozawa",

year = "2016",

month = jan,

day = "25",

language = "English",

volume = "2016",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

AU - Hoshino, Gaku

AU - Ozawa, Tohru

PY - 2016/1/25

Y1 - 2016/1/25

N2 - We study the Cauchy problem for the cubic hyperbolic Schrödinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.

AB - We study the Cauchy problem for the cubic hyperbolic Schrödinger equation in two space dimensions. We prove existence of analytic global solutions for sufficiently small and exponential decaying data. The method of proof depends on the generalized Leibniz rule for the generator of pseudo-conformal transform acting on pseudo-conformally invariant nonlinearity.

KW - Analytic smoothing effect

KW - Global solution

KW - Non elliptic Schrödinger equation

KW - Nonlinear Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=84955562979&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84955562979&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84955562979

VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

ER -