| 半线性抛物型方程解在有限时刻猝灭与解整体存在的条件 |
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| 引用本文： | 孙仁斌.半线性抛物型方程解在有限时刻猝灭与解整体存在的条件[J].中南民族大学学报(自然科学版),2014(1):118-122. |
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| 作者姓名： | 孙仁斌 |
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| 作者单位： | 中南民族大学数学与统计学学院，武汉430074 |
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| 基金项目： | 国家民委科研基金资助项目( 12ZNZ004) |
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| 摘 要： | 考虑一类含有奇性反应函数的半线性抛物型方程的初边值问题,首先讨论了解在有限时刻发生猝灭的条件与在猝灭时刻解对时间导数的爆破性,得到了猝灭时刻的上限估计,而后在球形区域内讨论了整体解存在的条件.
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| 关 键 词： | 抛物型方程 猝灭 爆破 整体解 |
Conditions on Quenching in Finite Time and Global Existence for Semi-Linear Parabolic Equation |
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| Sun Renbin.Conditions on Quenching in Finite Time and Global Existence for Semi-Linear Parabolic Equation[J].Journal of South-Central Univ for,2014(1):118-122. |
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| Authors: | Sun Renbin |
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| Institution: | Sun Renbin (College of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China) |
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| Abstract: | In this paper , we consider a class of initial-boundary value problem of semi-linear parabolic differential equation with singular term.Firstly, we prove that the solution quenches and the derivate of solution to time blows up in some finite time, get the estimation value for the upper limit of quenching time , and then discuss existence condition of the global solution in a ball . |
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| Keywords: | parabolic equation quench blow up global solution |
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