The Cauchy problem for the seventh-order dispersive equation in Sobolev space
1 College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan, 453007, P.R. China
2 Henan Vocational College of Agriculture, Zhengzhou, Henan, 451450, P.R. China
Boundary Value Problems 2014, 2014:122 doi:10.1186/1687-2770-2014-122Published: 20 May 2014
This paper is devoted to the Cauchy problem for the higher-order dispersive equation , . The local well-posedness of the associated Cauchy problem is established in Sobolev space with with the aid of the Fourier restriction norm method.