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

Jun Ichi Segata

doi:10.1090/S0002-9939-04-07620-8

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

Jun Ichi Segata

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

27 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 language	English
Pages (from-to)	3559-3568
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	132
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-04-07620-8
Publication status	Published - 2004 Dec

Keywords

Fourth order nonlinear Schrödinger type equation
Local well-posedness

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-04-07620-8

Cite this

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abstract = "We consider the initial value problem for the fourth order nonlinear Schr{\"o}dinger 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.",

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KW - Local well-posedness

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

Abstract

Keywords

ASJC Scopus subject areas

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