摘要
在齐次Neumann边界条件下考虑了一类带有奇异项的非局部抛物方程,在该方程具有奇异项的前提下研究了解的爆破性质,得到了解在有限时间爆破的一个充分条件.
In this paper,we consider a nonlocal parabolic equation with a singular potential on a bounded smooth domain with the homogeneous Neumann boundary condition.We study the blow-up properties of the solutions and establish a sufficient condition on initial data such that the solutions blow-up in finite time.
作者
冯敏
周军
FENG Min;ZHOU Jun(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China;Zhengzhou Champion Middle School,Zhengzhou 450000,China)
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2020年第7期124-129,共6页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(11201380)
重庆市基础科学与前沿技术研究专项项目(cstc2016jcyjA0804).
关键词
非局部抛物方程
奇异项
爆破
nonlocal parabolic equation
singular potential
blow-up