| 一类拟线性薛定谔方程解的爆破 |
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| 引用本文： | 胡文燕.一类拟线性薛定谔方程解的爆破[J].雁北师范学院学报,2011,27(5). |
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| 作者姓名： | 胡文燕 |
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| 作者单位： | 晋中学院数学学院,山西晋中,030600 |
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| 摘 要： | 薛定谔方程是量子力学的基本方程,从数学角度看,它同时拥有与抛物线方程和双曲型方程类似的性质。文章对一类拟线性薛定谔方程解的爆破性质进行了研究,推广了前人的结果,证明了拟线性薛定谔方程在各向异性空间中解在有限时间内会爆破。
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| 关 键 词： | 拟线性薛定谔方程 各向异性空间 解的爆破 |
The Blow-up of the Solutions for a Quasilinear Schrodinger Equation |
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| HU Wen-Yan.The Blow-up of the Solutions for a Quasilinear Schrodinger Equation[J].Journal of Yanbei Teachers College,2011,27(5). |
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| Authors: | HU Wen-Yan |
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| Institution: | HU Wen-Yan(Department of Mathematics,Jinzhong University,Jinzhong Shanxi,030600) |
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| Abstract: | Schrodinger equations are fundamental equations of the quantum mechanics.From the mathematical point of view,the Schr？dinger equation possesses a mixture of the similar properties of parabolic and hyperbolic equations.This article has done some research summary on a quasilinear Schrodinger equation,and promoting predecessor＇s result,proves the solution of the quasilinear Schrodinger equation will blow up in nonisotropic spaces. |
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| Keywords: | quasilinear Schrodinger equation nonisotropic spaces blow-up |
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