Remark on well-posedness for the fourth order nonlinear Schrödinger type equation

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26 Citations (Scopus)

Abstract

We consider the initial value problem for the fourth order nonlinear Schrödinger type equation (4NLS) related to the theory of vortex filament. In this paper we prove the time local well-posedness for (4NLS) in the Sobolev space, which is an improvement of our previous paper.

Original languageEnglish
Pages (from-to)3559-3568
Number of pages10
JournalProceedings of the American Mathematical Society
Volume132
Issue number12
DOIs
Publication statusPublished - Dec 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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