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2014 The Cauchy Problem for a Fifth-Order Dispersive Equation
Hongjun Wang, Yongqi Liu, Yongqiang Chen
Abstr. Appl. Anal. 2014(SI43): 1-8 (2014). DOI: 10.1155/2014/404781

Abstract

This paper is devoted to studying the Cauchy problem for a fifth-order equation. We prove that it is locally well-posed for the initial data in the Sobolev space H s ( R ) with s 1 / 4 . We also establish the ill-posedness for the initial data in H s ( R ) with s < 1 / 4 . Thus, the regularity requirement for the fifth-order dispersive equations s 1 / 4 is sharp.

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Hongjun Wang. Yongqi Liu. Yongqiang Chen. "The Cauchy Problem for a Fifth-Order Dispersive Equation." Abstr. Appl. Anal. 2014 (SI43) 1 - 8, 2014. https://doi.org/10.1155/2014/404781

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022326
MathSciNet: MR3191040
Digital Object Identifier: 10.1155/2014/404781

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI43 • 2014
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