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 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.
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| Hua Wang |
Department of Mathematics
Sun Yat-Sen University
Guangzhou, Guangdong 510275, China
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