Global dynamics of solutions with group invariance for the nonlinear schrödinger equation

Takahisa Inui

doi:10.3934/cpaa.2017028

Article Contents

2017, Volume 16, Issue 2: 557-590. Doi: 10.3934/cpaa.2017028

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Global dynamics of solutions with group invariance for the nonlinear schrödinger equation

Takahisa Inui

Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto, 606-8502, Japan

Author Bio: E-mail address: inui@math.kyoto-u.ac.jp

Received: June 30, 2016

Revised: October 31, 2016

Published: August 2017

The author is supported by JSPS Research Fellow 15J02570

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Abstract

We consider the focusing mass-supercritical and energy-subcritical nonlinear Schrödinger equation (NLS). We are interested in the global behavior of the solutions to (NLS) with group invariance. By the group invariance, we can determine the global behavior of the solutions above the ground state standing waves.

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Mathematics Subject Classification: 35Q55, 35B40.

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