On the schrödinger equation with dissipative nonlinearities of derivative type

Nakao Hayashi; Pavel I. Naumkin; Hideaki Sunagawa

doi:10.1137/070689103

On the schrödinger equation with dissipative nonlinearities of derivative type

Nakao Hayashi, Pavel I. Naumkin, Hideaki Sunagawa

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

We consider the cubic nonlinear Schrödinger equations of derivative type with small initial data. We present a structural condition on the nonlinear terms under which the corresponding Cauchy problem has a dissipative nature.

Original language	English
Pages (from-to)	278-291
Number of pages	14
Journal	SIAM Journal on Mathematical Analysis
Volume	40
Issue number	1
DOIs	https://doi.org/10.1137/070689103
Publication status	Published - 2008 Dec 1
Externally published	Yes

Keywords

Derivative coupling
Dissipative nonlinearity
Schrödinger equation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/070689103

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Hayashi, N., Naumkin, P. I., & Sunagawa, H. (2008). On the schrödinger equation with dissipative nonlinearities of derivative type. SIAM Journal on Mathematical Analysis, 40(1), 278-291. https://doi.org/10.1137/070689103

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abstract = "We consider the cubic nonlinear Schr{\"o}dinger equations of derivative type with small initial data. We present a structural condition on the nonlinear terms under which the corresponding Cauchy problem has a dissipative nature.",

keywords = "Derivative coupling, Dissipative nonlinearity, Schr{\"o}dinger equation",

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AU - Naumkin, Pavel I.

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KW - Schrödinger equation

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