| 一类具有非齐次Neumann边界条件的半线性热方程解的爆破现象 |
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| 引用本文： | 陶维安,穆春来.一类具有非齐次Neumann边界条件的半线性热方程解的爆破现象[J].四川大学学报(自然科学版),2012,49(4):765-770. |
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| 作者姓名： | 陶维安 穆春来 |
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| 作者单位： | 长江师范学院数学与计算机学院;重庆大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11071266) |
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| 摘 要： | 作者研究了一类具有非齐次Neumann边界条件的半线性热方程解的爆破现象.通过构造一阶微分不等式,作者得到了爆破时间的上界.另外,作者还得到了方程解爆破的充分条件.
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| 关 键 词： | 非线性边界条件 爆破 热方程 |
Blow-up phenomena for the semilinear heat equation with inhomogeneous Neumann boundary conditions |
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| TAO Wei-An and MU Chun-Lai.Blow-up phenomena for the semilinear heat equation with inhomogeneous Neumann boundary conditions[J].Journal of Sichuan University (Natural Science Edition),2012,49(4):765-770. |
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| Authors: | TAO Wei-An and MU Chun-Lai |
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| Institution: | College of Mathematics and Computer Sciences, Yangtze Normal University;College of Mathematics and Statistics, Chongqing University |
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| Abstract: | By means of a first order differential inequality technique, a lower bound on blow up time for solutions to the semilinear heat equation with inhomogeneous Neumann boundary conditions is obtained when blow up does occur. In addition, sufficient conditions are determined which imply that blow up of the solution does occur or does not occur. |
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| Keywords: | nonlinear boundary conditions blow up heat equation |
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