| 抛物方程解的完全爆破时间关于初值的依赖性 |
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| 引用本文： | 谷菲菲,潘佳庆.抛物方程解的完全爆破时间关于初值的依赖性[J].集美大学学报(自然科学版),2012,17(3):223-227. |
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| 作者姓名： | 谷菲菲 潘佳庆 |
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| 作者单位： | 集美大学理学院,福建厦门,361021 |
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| 摘 要： | 研究了一类抛物方程解的完全爆破时间关于初值的连续依赖性，其中方程源项为分段连续的函数．先利用椭圆型方程特征函数的相关性质给出了完全爆破时间与任意非爆破时间之间的关系，再运用有限覆盖定理及解的性质证明了结论．
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| 关 键 词： | 抛物方程 完全爆破时间 连续依赖 |
The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation |
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| GU Fei-fei,PAN Jia-qing.The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation[J].the Editorial Board of Jimei University(Natural Science),2012,17(3):223-227. |
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| Authors: | GU Fei-fei PAN Jia-qing |
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| Institution: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | The continuous dependence on initial value of complete blow-up-time of solutions of a class of parabolic equation was considered,in which the source item was piecewise continuous function.Firstly using the relative properties of the function on elliptic equation to give a relation between complete blow-up-time and any non-blow-up-time,then through the theorem of finite covering and the properties of solutions to prove the conclusion. |
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| Keywords: | parabolic equation complete blow-up-time continuous dependence |
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