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Remark on well-posedness for the fourth order nonlinear Schrödinger type equation
Author(s):
Jun-ichi
Segata
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3559-3568.
MSC (2000):
Primary 35Q55
Posted:
July 12, 2004
MathSciNet review:
2084077
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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.
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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
DOI:
10.1090/S0002-9939-04-07620-8
PII:
S 0002-9939(04)07620-8
Keywords:
Fourth order nonlinear Schr\"odinger type equation,
local well-posedness
Received by editor(s):
April 30, 2003
Posted:
July 12, 2004
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2004,
American Mathematical Society
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