摘要
本文针对具有非线性源的非散度型扩散方程初边值问题研究解的爆破性质。利用辅助函数法和修正微分不等式技巧等,建立适当的条件并使问题的解在新测度意义下有限时刻发生爆破。同时,在全空间中给出爆破解的生命跨度估计值。
This paper investigates the blow-up properties of the initial boundary value problems of nondivergence diffusion equation with nonlinear source terms.By using the auxiliary function method and modified differential inequality technique,the appropriate conditions are established to guarantee that the solution blows up at finite time under new measure.Meantime,in the whole space,the life span estimation of the blow-up solution is obtained.
作者
张娜
方钟波
Zhang Na;Fang Zhongbo(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)
出处
《中国海洋大学学报(自然科学版)》
北大核心
2025年第S1期142-148,共7页
Periodical of Ocean University of China
基金
山东省自然科学基金项目(ZR2019MA072)资助
关键词
非散度型扩散方程
非线性源
爆破解
nondivergence diffusion equation
nonlinear source
blow-up solutions
