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.
Hua Wang
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
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 email: wanghua_math@126.com |
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