[1]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):223-226.
GU Fei-feiPAN Jia-qing.The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation[J].Journal of Jimei University,2012,17(3):223-226.
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抛物方程解的完全爆破时间关于初值的依赖性(PDF)
GU Fei-feiPAN Jia-qing.The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation[J].Journal of Jimei University,2012,17(3):223-226.
《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
- 第17卷
- 期数:
- 2012年第3期
- 页码:
- 223-226
- 栏目:
- 数理科学与信息工程
- 出版日期:
- 2012-05-25
文章信息/Info
- Title:
- The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation
- Author(s):
- GU Fei-feiPAN Jia-qing
- (School of ScienceJimei UniversityXiamen 361021,China)
- 分类号:
- -
- DOI:
- -
- 文献标志码:
- -
- 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
- 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 eigenfunction 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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更新日期/Last Update:
2014-06-28