I-METHOD

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Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation
《Acta Mathematica Sinica,English Series》2020年第9期969-1000,共32页Min Jie SHAN 
Supported by China Postdoctoral Science Foundation(Grant No.2019M650872);The author would like to express his deep gratitude to Professor Yoshio Tsutsumi,Professor Baoxiang Wang and Professor Liqun Zhang for their guidance and help.
The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H^s(R^2)for all 5/7
关键词：Zakharov-Kuznetsov equation global well-posedness global attractor I-METHOD atomic spaces 
Global Well-posedness for the Fifth-order mKdV Equation
《Acta Mathematica Sinica,English Series》2018年第6期1015-1027,共13页Xin Jun GAO 
We prove the global well-posedness for the Cauchy problem of fifth-order modified Korteweg-de Vries equation in Sobolev spaces H^3（R） for s〉-3/22.The main approach is the ＂I-method＂ together with the multilinear ...
关键词：Fifth-order mKdV equation Bourgain space global well-posedness I-METHOD 
Global Well-posedness for gKdV-3 in Sobolev Spaces of Negative Index
《Acta Mathematica Sinica,English Series》2008年第5期857-866,共10页Zhi Fei ZHANG 
NSFC 10601002
The initial value problem for the generalized Korteweg-deVries equation of order three on the line is shown to be globally well posed for rough data. Our proof is based on the multilinear estimate and the I-method int...
关键词：KdV equation Global well posedness I-METHOD Multilinear estimate 
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