Finite charge solutions to cubic schrödinger equations with a nonlocal nonlinearity in one space dimension

Kei Nakamura; Tohru Ozawa

doi:10.3934/dcds.2013.33.789

Finite charge solutions to cubic schrödinger equations with a nonlocal nonlinearity in one space dimension

Kei Nakamura, Tohru Ozawa

先進理工学部

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

We study the Cauchy problem for cubic Schrödinger equations modelling ultra-short laser pulses propagating along the line. The global existence, blow-up, and scattering of solutions is described exclusively in the charge space L ²(R) without any approximating arguments.

本文言語	English
ページ（範囲）	789-801
ページ数	13
ジャーナル	Discrete and Continuous Dynamical Systems- Series A
巻	33
号	2
DOI	https://doi.org/10.3934/dcds.2013.33.789
出版ステータス	Published - 2013

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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引用スタイル

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abstract = "We study the Cauchy problem for cubic Schr{\"o}dinger equations modelling ultra-short laser pulses propagating along the line. The global existence, blow-up, and scattering of solutions is described exclusively in the charge space L 2(R) without any approximating arguments.",

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