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初值为无界情形时解的支集的瞬间收缩性
引用本文:张景军,沈丹桂. 初值为无界情形时解的支集的瞬间收缩性[J]. 嘉兴学院学报, 2007, 19(6): 45-49
作者姓名:张景军  沈丹桂
作者单位:嘉兴学院数学与信息科学学院,浙江嘉兴,314001
基金项目: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.

关 键 词:半线性热方程  强吸收项  支集的瞬间收缩性
文章编号:1008-6781(2007)06-0045-05
修稿时间:2007-07-10

Instantaneous Shrinking Property of the Support of Solutions for Semilinear Heat Equations with Unbounded Initial Data
ZHANG Jing-jun,SHEN Dan-gui. Instantaneous Shrinking Property of the Support of Solutions for Semilinear Heat Equations with Unbounded Initial Data[J]. Journal of Jiaxing College, 2007, 19(6): 45-49
Authors:ZHANG Jing-jun  SHEN Dan-gui
Abstract: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.
Keywords:semilinear heat equation  strong absorption  instantaneous shrinking of the support
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