Remark on well-posedness for the fourth order nonlinear Schrödinger type equation
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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.References
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Additional Information
- Jun-ichi Segata
- Affiliation: Graduate School of Mathematics, Kyushu University, 10-1, Hakozaki 6-chôme, Higashi-ku, Fukuoka 812-8581, Japan
- Email: segata@math.kyushu-u.ac.jp
- Received by editor(s): April 30, 2003
- Published electronically: July 12, 2004
- Communicated by: David S. Tartakoff
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3559-3568
- MSC (2000): Primary 35Q55
- DOI: https://doi.org/10.1090/S0002-9939-04-07620-8
- MathSciNet review: 2084077