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On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type

Authors :
Nakao Hayashi
Pavel I. Naumkin
Hideaki Sunagawa
Source :
SIAM Journal on Mathematical Analysis. 40:278-291
Publication Year :
2008
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 2008.

Abstract

We consider the cubic nonlinear Schrodinger 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.

Details

ISSN :
10957154 and 00361410
Volume :
40
Database :
OpenAIRE
Journal :
SIAM Journal on Mathematical Analysis
Accession number :
edsair.doi...........e6491a6e471817b61e799d6d0360025e
Full Text :
https://doi.org/10.1137/070689103