Open Access
June 2015 Strong instability of standing waves for nonlinear Schrödinger equations with double power nonlinearity
Masahito Ohta, Takahiro Yamaguchi
Author Affiliations +
SUT J. Math. 51(1): 49-58 (June 2015). DOI: 10.55937/sut/1437588734

Abstract

We prove strong instability (instability by blowup) of standing waves for some nonlinear Schrödinger equations with double power nonlinearity.

Funding Statement

The research of the first author was supported in part by JSPS KAKENHI Grant Number 24540163.

Acknowledgment

The authors thank the referees for the careful reading of the manuscript.

Citation

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Masahito Ohta. Takahiro Yamaguchi. "Strong instability of standing waves for nonlinear Schrödinger equations with double power nonlinearity." SUT J. Math. 51 (1) 49 - 58, June 2015. https://doi.org/10.55937/sut/1437588734

Information

Received: 3 July 2014; Revised: 10 November 2014; Published: June 2015
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1437588734

Subjects:
Primary: 35B35 , 35Q55

Keywords: blowup , instability , nonlinear Schrödinger equation , standing wave

Rights: Copyright © 2015 Tokyo University of Science

Vol.51 • No. 1 • June 2015
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