The Cauchy Problem for a Fifth-Order Dispersive Equation

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Wang, Hongjun; Liu, Yongqi; Chen, Yongqiang;
(2014)

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 ${H}^{s}(\mathbf{R})$ with $s\ge 1/4$ . We also establish the ill-posedness for the initial data in ... View more
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