| On a class of quasilinear Schrodinger equations |
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| 作者姓名： | 舒级 张健 |
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| 作者单位： | [1]Key Laboratory of Computer Software, Sichuan Normal University, Chengda 610066, P. R. China [2]College of Mathematics and Software Science, Sichuan Normal University Chengdu 610066, P. R. China |
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| 基金项目： | 四川省教育厅资助项目;四川师范大学校科研基金 |
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| 摘 要： |
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| 关 键 词： | 冷凝物 整体存在性 线性方程式 解题方法 |
| 收稿时间： | 2006-09-04 |
| 修稿时间： | 2006-09-042007-04-27 |
On a class of quasilinear schrödinger equations |
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| Shu Ji,Zhang Jian.On a class of quasilinear Schrodinger equations[J].Applied Mathematics and Mechanics(English Edition),2007,28(7):981-986. |
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| Authors: | Shu Ji Zhang Jian |
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| Institution: | 1. Key Laboratory of Computer Software, Sichuan Normal University, Chengdu 610066, P. R. China;College of Mathematics and Software Science, Sichuan Normal University Chengdu 610066, P. R. China
2. College of Mathematics and Software Science, Sichuan Normal University Chengdu 610066, P. R. China |
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| Abstract: | A type of quasilinear Schrodinger equations in two space dimensions which describe attractive Bose-Einstein condensates in physics is discussed. By establishing the property of the equation and applying the energy method, the blowup of solutions to the equation are proved under certain conditions. At the same time, by the variational method, a sutficient condition of global existence which is related to the ground state of a classical elliptic equation is obtained. |
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| Keywords: | quasilinear Schr(o)dinger equations blowup global existence ground state Bose-Einstein condensates |
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