| 四阶Ginzburg-Landau型方程的初值问题 |
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| 引用本文： | 王保祥,霍朝辉. 四阶Ginzburg-Landau型方程的初值问题[J]. 数学年刊A辑(中文版), 2002, 0(2) |
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| 作者姓名： | 王保祥 霍朝辉 |
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| 作者单位： | 河北大学数学系，河北大学数学系 河北 保定０７１００２，河北 保定０７１００２ |
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| 基金项目： | 国家自然科学基金(No．19901007)资助的项目 |
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| 摘 要： | 本文研究四阶Ｇｉｎｚｂｕｒｇ－Ｌａｎｄａｕ型方程的初值问题,通过建立一般半线性抛物方程的Ｌτ－解和Ｈｓ－解之间的联系,获得该方程的整体Ｈｓ－解的存在唯一性(ｓ＝１、２)。
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| 关 键 词： | 四阶Ginzbury－Landau型方程 Cauchy问题 整体Hs－解(s＝1 2) |
THE CAUCHY PROBLEM FOR THE FOURTH ORDER GINZBURG-LANDAU EQUATIONS |
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| WANG Baoxiang HUO Zhaohui. THE CAUCHY PROBLEM FOR THE FOURTH ORDER GINZBURG-LANDAU EQUATIONS[J]. Chinese Annals of Mathematics, 2002, 0(2) |
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| Authors: | WANG Baoxiang HUO Zhaohui |
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| Affiliation: | WANG Baoxiang HUO ZhaohuiDepartment of Mathematics. Hebei University. Baoding 071002. Hebei. China.E-mail: wbxiang@bdinfo.net Department of Mathematics. Hebei University,Baoding 071002,Hebei,China. |
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| Abstract: | The authors investigate the existence and uniqueness of solutions in Hs for the Cauchy problem of the fourth order Ginzburg-Landau equations. Some connections between L -solution and Hs-solution are established and the global well-posedness of solutions in Hs is shown (s = 1,2). |
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| Keywords: | The fourth order Ginzburg-Landau equation Cauchy problem Global solutions in Hl and H2 |
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