摘要
考虑了含有脉冲的半线性反应扩散方程的柯西问题 ,利用上下解原理证明了其解的存在性与唯一性 ,并建立比较原理 ,由此得出结论 :当反应项满足一定条件时 ,解会在有限时刻发生爆破 .
An Cauchy problem of impulsive semilinear reactive diffusive equation is considered. The existence and uniqueuess are proved by using upper and lower solutions. Moreover, using comparing theorem we get the solution will blow up at a finite time when the reactive function suits to some condition.
出处
《中南民族大学学报(自然科学版)》
CAS
2005年第1期82-84,共3页
Journal of South-Central University for Nationalities:Natural Science Edition
关键词
脉冲
反应扩散方程
存在与唯一性
爆破
impulse
reactive diffusive equation
existence and uniqueness
blow-up