| 一类二维广义Zakharov方程的适定性 |
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| 引用本文： | 游淑军,宁效琦.一类二维广义Zakharov方程的适定性[J].华南师范大学学报(自然科学版),2012,44(2):29-0. |
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| 作者姓名： | 游淑军 宁效琦 |
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| 作者单位： | 1.1.怀化学院 |
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| 基金项目： | 湖南省教育厅科研项目，怀化学院科研项目 |
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| 摘 要： | 考虑一类广义Zakharov方程的Cauchy问题的适定性. 通过一系列的先验估计, 利用Galerkin方法, 对于二维广义Zakharov方程的Cauchy问题得到了整体光滑解的存在性和惟一性.
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| 关 键 词： | 修正的Zakharov方程 广义Zakharov方程 Cauchy 问题 整体解 |
| 收稿时间： | 2011-07-22 |
Well-Posedness for a Class of Two-Dimensional Generalized Zakharov Equations |
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| YOU Shujun
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NING Xiaoqi.Well-Posedness for a Class of Two-Dimensional Generalized Zakharov Equations[J].Journal of South China Normal University(Natural Science Edition),2012,44(2):29-0. |
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| Authors: | YOU Shujun NING Xiaoqi |
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| Institution: | 1(1.Department of Mathematics,Huaihua University,Huaihua,Hunan 418008,China; 2.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China) |
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| Abstract: | The existence and uniqueness of solutions to the Cauchy problem for a class of generalized Zakharov equations in two-dimensions are investigated.By virtue of a priori integral estimate and Galerkin method,the global existence and uniqueness of the solution to the problem are established. |
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| Keywords: | modified Zakharov equation generalized Zakharov equation Cauchy problem global solution |
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