CAJ | 학술논문

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．
연구료일류포물방정해적완전폭파시간관우초치적련속의뢰성，기중방정원항위분단련속적함수．선이용타원형방정특정함수적상관성질급출료완전폭파시간여임의비폭파시간지간적관계，재운용유한복개정리급해적성질증명료결론．
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.