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 › peer-review

14 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
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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title = "On the schr{\"o}dinger equation with dissipative nonlinearities of derivative type",

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",

author = "Nakao Hayashi and Naumkin, {Pavel I.} and Hideaki Sunagawa",

year = "2008",

doi = "10.1137/070689103",

language = "English",

volume = "40",

pages = "278--291",

journal = "SIAM Journal on Mathematical Analysis",

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AU - Hayashi, Nakao

AU - Naumkin, Pavel I.

AU - Sunagawa, Hideaki

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Derivative coupling

KW - Dissipative nonlinearity

KW - Schrödinger equation

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DO - 10.1137/070689103

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 1

ER -

On the schrödinger equation with dissipative nonlinearities of derivative type

Abstract

Keywords

ASJC Scopus subject areas

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