| 高维空间中阻尼Boussinesq方程初值问题的整体解 |
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| 引用本文： | 刘诗焕,朱先阳.高维空间中阻尼Boussinesq方程初值问题的整体解[J].西南师范大学学报(自然科学版),2018,43(9):1-5. |
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| 作者姓名： | 刘诗焕 朱先阳 |
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| 作者单位： | 井冈山大学数理学院 |
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| 基金项目： | 国家自然科学基金项目（11161024）；江西省自然科学基金项目（20144BAB2010011）. |
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| 摘 要： | 运用Fourier变换方法和迭代技巧研究了一类广义阻尼Boussinesq方程的初值问题.在Sobolev空间中得到了这类Boussinesq方程初值问题整体解的存在唯一性.
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| 关 键 词： | Boussinesq方程 初值问题 整体解 |
| 收稿时间： | 2016/9/22 0:00:00 |
On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions |
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| LIU Shi-huan,ZHU Xian-yang.On Global Solution of Initial Problem for a Damped Boussinesq Equation in Higher Space Dimensions[J].Journal of Southwest China Normal University(Natural Science),2018,43(9):1-5. |
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| Authors: | LIU Shi-huan ZHU Xian-yang |
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| Institution: | School of Mathematics and Physics, Jinggangshan University, Ji''an Jiangxi 343009, China |
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| Abstract: | The global solution of initial problem for a generalized damped Boussinesq equation in higher space dimensions is studied. By means of Fourier method and iterative technique, the existence and uniqueness of the global solution are established in a suitable Sobolev space. |
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| Keywords: | Boussinesq equation initial problem global solution |
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