| 具非线性边界条件的非线性发展方程解的Blow up |
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| 引用本文： | 查中伟,向以华.具非线性边界条件的非线性发展方程解的Blow up[J].应用数学,2009,22(3). |
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| 作者姓名： | 查中伟 向以华 |
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| 作者单位： | 重庆三峡学院数学与计算机学院,重庆,404000 |
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| 基金项目： | 重庆市科委科技项目基金 |
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| 摘 要： | 讨论一类非线性发展方程具有非线性边界条件的初边值问题.在某些假设条件下,利用抛物型方程的最大值原理和凸性方法证明了其解在有限时间内具有爆破性质.
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| 关 键 词： | 非线性发展方程 初边值问题 解的爆破 人口生态学 |
Blow up of the Solution for Nonlinear Evolution Equation with a Nonlinear Boundary Condition |
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| ZHA Zhong-wei,XIANG Yi-hua.Blow up of the Solution for Nonlinear Evolution Equation with a Nonlinear Boundary Condition[J].Mathematica Applicata,2009,22(3). |
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| Authors: | ZHA Zhong-wei XIANG Yi-hua |
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| Abstract: | The initial-boundary value problem under the nonlinear boundary condition for a kind of nonlinear evolution equations is discussed. To apply the maximum value theory and convex method of parabolic equation,it is proved that the blowing up of solution in the definite time under some assumed conditions. |
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| Keywords: | Nonlinear evolution equation Initial-boundary value problem Blowing up of solution Population biology |
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