初值为无界情形时解的支集的瞬间收缩性  

Instantaneous Shrinking Property of the Support of Solutions for Semilinear Heat Equations with Unbounded Initial Data

作　　者：张景军[1] 沈丹桂[1] 

机构地区：[1]嘉兴学院数学与信息科学学院,浙江嘉兴314001

出　　处：《嘉兴学院学报》2007年第6期45-49,共5页Journal of Jiaxing University

基　　金：嘉兴学院科研重点课题(70107003)

摘　　要：研究了一类带有强吸收项的半线性热方程的初值问题,在初值数据为无界的情形下讨论了解的支集的瞬间收缩性质,给出了强吸收项的系数与初值数据之间的具体依赖关系.This paper focuses on the initial problem of certain semilinear heat equations with strong absorption. We get the instantaneous shrinking property with unbounded initial data and the relation between the initial data and the co - efficient of the Strong absorption.

关 键 词：半线性热方程 强吸收项 支集的瞬间收缩性 

分 类 号：O175.2[理学—数学]