I-METHOD

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相关机构：新乡学院西安交通大学更多>>
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ALMOST CONSERVATION LAWS AND GLOBAL ROUGH SOLUTIONS OF THE DEFOCUSING NONLINEAR WAVE EQUATION ON R^2
《Acta Mathematica Scientia》2017年第2期385-394,共10页张再云 黄建华 孙明保 
supported by Hunan Provincial Natural Science Foundation of China(2016JJ2061);Scientific Research Fund of Hunan Provincial Education Department(15B102);China Postdoctoral Science Foundation(2013M532169,2014T70991);NNSF of China(11671101,11371367,11271118);the Construct Program of the Key Discipline in Hunan Province(201176);the aid program for Science and Technology Innovative Research Team in Higher Education Institutions of Hunan Province(2014207)
In this article, we investigate the initial value problem（IVP） associated with the defocusing nonlinear wave equation on R^2 as follows：{δttu-△u=-u^3 u（0,x）=u0（x）,δtu＊（0,x）=u1（x,）where the initial data ...
关键词：Defocusing nonlinear wave equation global well-posedness I-METHOD linear-nonlinear decomposition below energy space 
GLOBAL WELL-POSEDNESS FOR A FIFTH-ORDER SHALLOW WATER EQUATION ON THE CIRCLE被引量：1
《Acta Mathematica Scientia》2011年第4期1303-1317,共15页李用声 杨兴雨 
supported by NSFC (10771074);NSFC-NSAF(10976026);Yang was partially supported by NSFC (10801055; 10901057)
The periodic initial value problem of a fifth-order shallow water equation t u 2 x t u ＋ 3 x u 5 x u ＋ 3u x u 2 x u 2 x u u 3 x u = 0 is shown to be globally well-posed in Sobolev spaces˙ H s （T） for s 〉 2/3 by ...
关键词：shallow water equation periodic initial value problem global well-posedness I-METHOD almost conservation law 
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