| 一类具磁场效应的非线性Schrodinger方程组初边值问题整体解的不存在性 |
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| 引用本文： | 田应辉.一类具磁场效应的非线性Schrodinger方程组初边值问题整体解的不存在性[J].四川师范大学学报(自然科学版),1994(5). |
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| 作者姓名： | 田应辉 |
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| 作者单位： | 绵阳农业专科学校 |
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| 摘 要： | 本文研究了一类具磁场效应的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程组具Ｄｉｒｉｃｈｌｅｔ边值的初边值问题在任意维空间Ｒｎ中整体解的不存在性，当Ω为星形区域时，在初始能量非负和小于零两种情况下，均得到了问题整体解不存在的条件．
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| 关 键 词： | 具磁场交应的非线性Schrodinger方程组，整体解，爆破 |
THE NONEXISTENCE OF GLOBAL SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR A CLASS OF SYSTEM OF NONLINEAR SCHR DINGER EQUATIONS WITH MAGNETIC EFFECT |
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| Tian Yinghui.THE NONEXISTENCE OF GLOBAL SOLUTIONS TO THE INITIAL-BOUNDARY VALUE PROBLEM FOR A CLASS OF SYSTEM OF NONLINEAR SCHR DINGER EQUATIONS WITH MAGNETIC EFFECT[J].Journal of Sichuan Normal University(Natural Science),1994(5). |
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| Authors: | Tian Yinghui |
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| Abstract: | In this paper, we study the nonexistence of global solutions to the initial-boundary value problem for a class of system of nonlinear Schr dinger equations with magnetic effect. Whether the initial energy is nonegative or negative, we obtain the conditions in which the global solutions to the problem don't exist when the space doman is starshaped. |
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| Keywords: | system of nonlinear Schr dinger equations with magnetic effect global solution blowing-up |
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