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
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.