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抛物方程解的完全爆破时间关于初值的依赖性

谷菲菲 潘佳庆

集美大学学报:自然科学版2012,Vol.17Issue(3):223-227,5.
集美大学学报:自然科学版2012,Vol.17Issue(3):223-227,5.

抛物方程解的完全爆破时间关于初值的依赖性

The Continuous Dependence on Initial Value of Complete Blow-up-time of Solutions for a Parabolic Equation

谷菲菲 1潘佳庆1

作者信息

  • 1. 集美大学理学院,福建厦门361021
  • 折叠

摘要

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.

关键词

抛物方程/完全爆破时间/连续依赖

Key words

parabolic equation/complete blow-up-time/continuous dependence

分类

数学

引用本文复制引用

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):223-227,5.

集美大学学报:自然科学版

1007-7405

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