摘要
讨论了无限的、局部有限的、连通图上带吸收项的热方程的非平凡解的大时间行为.利用比较原理和能量方法,证明了其非平凡解在q<1时熄灭,而在q≥1时保持严格的正性.
In this paper,we mainly study the large time behaviors of the nontrivial solutions for the heat equation with the absorption term on the infinite,locally finite, connected graphs. Based on the comparison principle and the en- ergy method,we finally prove that the the solution becomes extinct for q 〈 1 ,and remains strictly positive for q≥l.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期727-730,共4页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金天元基金青年项目(11226190)
伊犁师范学院一般科研计划项目(2012YB016)
关键词
热方程
吸收项
熄灭
正性
heat equation
absorption
extinction
positivity
