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Journal d'Analyse Mathématique

, Volume 135, Issue 2, pp 473–486 | Cite as

Orbital stability of solitary waves for derivative nonlinear Schrödinger equation

  • Soonsik Kwon
  • Yifei Wu
Article

Abstract

In this paper, we show the orbital stability of solitons arising in the cubic derivative nonlinear Schrödinger equations. We consider the zero mass case that is not covered by earlier works. As this case enjoys L2 scaling invariance, we expect orbital stability (up to scaling symmetry) in addition to spatial and phase translations. We also show a self-similar type blow up criterion of solutions with the critical mass 4π.

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Copyright information

© Hebrew University Magnes Press 2018

Authors and Affiliations

  1. 1.Department of Mathematical SciencesKorea Advanced Institute of Science and TechnologyDaejeonKorea
  2. 2.Center for Applied MathematicsTianjin UniversityTianjinP. R. China

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