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January/February 2013 Well-Posedness and averaging of NLS with time-periodic dispersion management
Paolor Antonelli, ean-Claude Saut, Christof Sparber
Adv. Differential Equations 18(1/2): 49-68 (January/February 2013). DOI: 10.57262/ade/1355867481

Abstract

We consider the Cauchy problem for dispersion-managed nonlinear Schrödinger equations, where the dispersion map is assumed to be periodic and piecewise constant in time. We establish local and global well-posedness results and the possibility of finite time blow-up. In addition, we shall study the scaling limit of fast dispersion management and establish convergence to an effective model with averaged dispersion.

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Paolor Antonelli. ean-Claude Saut. Christof Sparber. "Well-Posedness and averaging of NLS with time-periodic dispersion management." Adv. Differential Equations 18 (1/2) 49 - 68, January/February 2013. https://doi.org/10.57262/ade/1355867481

Information

Published: January/February 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1261.35132
MathSciNet: MR3052710
Digital Object Identifier: 10.57262/ade/1355867481

Subjects:
Primary: 35A01 , 35B40 , 35Q55

Rights: Copyright © 2013 Khayyam Publishing, Inc.

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Vol.18 • No. 1/2 • January/February 2013
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