Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 04, pp. 1-11.

Title: Global well-posedness of the Cauchy problem of a higher-order
       Schrodinger equation

Author: Hua Wang (Sun Yat-Sen Univ., Guangzhou, China)

Abstract:
 We apply the I-method to prove that the Cauchy problem of
 a higher-order Schrodinger equation is globally
 well-posed in the Sobolev space $H^{s}(\mathbb{R})$
 with s>6/7.
 
Submitted September 7, 2006. Published January 2, 2007.
Math Subject Classifications: 35Q53, 35Q35.
Key Words: Higher order Schrodinger equation;
           global well-posedness; I-method.