The Cauchy Problem for a Fifth‐Order Dispersive Equation

Hongjun Wang, Yongqi Liu and Yongqiang Chen

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 Hs(R) with s ≥ 1/4. We also establish the ill‐posedness for the initial data in Hs(R) with s

Date: 2014
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https://doi.org/10.1155/2014/404781

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:404781

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