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2011 On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term
Xuefei Liu, Mingxuan Zhu, Zaihong Jiang
J. Appl. Math. 2011: 1-15 (2011). DOI: 10.1155/2011/513467

Abstract

In this paper, we consider b-family equations with a strong dispersive term. First, we present a criterion on blow-up. Then global existence and persistence property of the solution are also established. Finally, we discuss infinite propagation speed of this equation.

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Xuefei Liu. Mingxuan Zhu. Zaihong Jiang. "On the Cauchy Problem for the b-Family Equations with a Strong Dispersive Term." J. Appl. Math. 2011 1 - 15, 2011. https://doi.org/10.1155/2011/513467

Information

Published: 2011
First available in Project Euclid: 15 March 2012

zbMATH: 1228.35206
MathSciNet: MR2844123
Digital Object Identifier: 10.1155/2011/513467

Rights: Copyright © 2011 Hindawi

Vol.2011 • 2011
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