| 广义准二维玻色-爱因斯坦凝聚方程的初边值问题 |
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| 引用本文： | 游淑军,宁效琦,刘振海. 广义准二维玻色-爱因斯坦凝聚方程的初边值问题[J]. 西安理工大学学报, 2011, 0(4): 477-480 |
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| 作者姓名： | 游淑军 宁效琦 刘振海 |
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| 作者单位： | 中南大学数学科学与计算技术学院;怀化学院数学系; |
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| 基金项目： | 国家自然科学基金资助项目(10971019); 湖南省教育厅基金资助项目(10C1056); 怀化学院科研基金资助项目(HHUY2011-01) |
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| 摘 要： | 考虑广义带空间调制非线性的准二维玻色-爱因斯坦凝聚方程。研究其初边值问题解的存在性和唯一性。通过一系列的先验估计,利用Galerkin方法验证了上述问题广义解的存在性,并进而确认了解的唯一性。
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| 关 键 词： | 玻色-爱因斯坦凝聚 初边值问题 广义解 |
Initial Boundary Value Problem for Generalized Quasi-Two Dimensional Bose-Einstein Condensates |
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| YOU Shujun,,NING Xiaoqi,LIU Zhenhai. Initial Boundary Value Problem for Generalized Quasi-Two Dimensional Bose-Einstein Condensates[J]. Journal of Xi'an University of Technology, 2011, 0(4): 477-480 |
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| Authors: | YOU Shujun NING Xiaoqi LIU Zhenhai |
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| Affiliation: | YOU Shujun1,2,NING Xiaoqi1,LIU Zhenhai2(1.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China,2.Department of Mathematics,Huaihua University,Huaihua 418008,China) |
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| Abstract: | Consider the existence and uniqueness of the solution to the initial boundary value problem for a generalized quasi-two dimensional Bose-Einstein condensates with spatially modulated nonlinearity and obtain the existence and uniqueness of the generalized solution to the problem by a priori integral estimates and Galerkin method. |
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| Keywords: | Bose-Einstein condensates initial boundary value problem generalized solution |
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