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The initial value problem for a third order dispersive equation on the two-dimensional torus
Author(s):
Hiroyuki
Chihara
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2083-2090.
MSC (2000):
Primary 35G10
Posted:
January 31, 2005
MathSciNet review:
2137875
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Abstract:
We present the necessary and sufficient conditions for the  -well-posedness of the initial problem for a third order linear dispersive equation on the two-dimensional torus. Birkhoff's method of asymptotic solutions is used to prove necessity. Some properties of a system for quadratic algebraic equations associated to the principal symbol play a crucial role in proving sufficiency.
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Additional Information:
Hiroyuki
Chihara
Affiliation:
Mathematical Institute, Tohoku University, Sendai 980-8578, Japan
Email:
chihara@math.tohoku.ac.jp
DOI:
10.1090/S0002-9939-05-07783-X
PII:
S 0002-9939(05)07783-X
Received by editor(s):
March 16, 2004
Posted:
January 31, 2005
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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