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LOW-REGULARITY SOLUTIONS FOR THE OSTROVSKY EQUATION

Published online by Cambridge University Press:  02 February 2006

Zhaohui Huo  and
Yueling Jia
Zhaohui Huo
Affiliation:
Department of Mathematics, School of Sciences, Beijing University of Aeronautics and Astronautics, Beijing 100083, China ([email protected])
Yueling Jia
Affiliation:
National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China ([email protected])
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Abstract

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The well-posedness of the Ostrovsky equation is considered. Local well-posedness for data in $\tilde{H}^s(\mathbb{R})$ $(s\geq-\frac{1}{8})$ and global well-posedness for data in $\tilde{L}^{2}(\mathbb{R})$ are obtained.

Keywords

Primary 35A0735D1035G2535Q53Ostrovsky equationFourier restriction normCauchy problemlow-regularity solutions
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 49 , Issue 1 , February 2006 , pp. 87 - 100
Copyright
Copyright © Edinburgh Mathematical Society 2006