The Cauchy Problem for a Fifth-Order Dispersive Equation

Hongjun Wang, Yongqi Liu and Yongqiang Chen

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

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 with . We also establish the ill-posedness for the initial data in with . Thus, the regularity requirement for the fifth-order dispersive equations is sharp.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:404781

DOI: 10.1155/2014/404781

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