Advanced Studies in Pure Mathematics

Remarks on derivative nonlinear Schrödinger systems with multiple masses

Chunhua Li and Hideaki Sunagawa

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Abstract

We prove global existence of small solutions to the initial value problem for a class of cubic derivative nonlinear Schrödinger systems with the masses satisfying suitable non-resonance relations. The large-time asymptotics of the solutions are also shown. This work is intended to provide a counterpart of the previous paper [20] in which the mass resonance case was treated.

Article information

Source
Asymptotic Analysis for Nonlinear Dispersive and Wave Equations, K. Kato, T. Ogawa and T. Ozawa, eds. (Tokyo: Mathematical Society of Japan, 2019), 173-195

Dates
Received: 9 March 2016
Revised: 20 June 2016
First available in Project Euclid: 31 October 2019

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1572545245

Digital Object Identifier
doi:10.2969/aspm/08110173

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 35B40: Asymptotic behavior of solutions

Keywords
Derivative nonlinear Schrödinger systems Multiple masses

Citation

Li, Chunhua; Sunagawa, Hideaki. Remarks on derivative nonlinear Schrödinger systems with multiple masses. Asymptotic Analysis for Nonlinear Dispersive and Wave Equations, 173--195, Mathematical Society of Japan, Tokyo, Japan, 2019. doi:10.2969/aspm/08110173. https://projecteuclid.org/euclid.aspm/1572545245


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