The initial value problem for a third order dispersive equation on the twodimensional torus
Author:
Hiroyuki Chihara
Journal:
Proc. Amer. Math. Soc. 133 (2005), 20832090
MSC (2000):
Primary 35G10
Published electronically:
January 31, 2005
MathSciNet review:
2137875
Fulltext PDF Free Access
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Abstract: We present the necessary and sufficient conditions for the wellposedness of the initial problem for a third order linear dispersive equation on the twodimensional 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 9808578, Japan
Email:
chihara@math.tohoku.ac.jp
DOI:
http://dx.doi.org/10.1090/S000299390507783X
PII:
S 00029939(05)07783X
Received by editor(s):
March 16, 2004
Published electronically:
January 31, 2005
Communicated by:
David S. Tartakoff
Article copyright:
© Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
