数学物理学报 ›› 2017, Vol. 37 ›› Issue (1): 146-157.

• 论文 • 上一篇    下一篇

具有加权非局部源和Robin边界条件的反应-扩散方程解的爆破时间下界

马羚未, 方钟波   

  1. 中国海洋大学数学科学学院 山东青岛 266100
  • 收稿日期:2016-04-24 修回日期:2016-10-20 出版日期:2017-02-26 发布日期:2017-02-26
  • 通讯作者: 方钟波 E-mail:fangzb7777@hotmail.com
  • 作者简介:马羚未,E-mail:mlw1103@163.com
  • 基金资助:

    山东省自然科学基金(ZR2012AM018)和中央高校基本科研基金(201362032)

Lower Bounds of Blow-up Time for a Reaction-Diffusion Equation with Weighted Nonlocal Sources and Robin Type Boundary Conditions

Ma Lingwei, Fang Zhongbo   

  1. School of Mathematical Sciences, Ocean University of China, Shandong Qingdao 266100
  • Received:2016-04-24 Revised:2016-10-20 Online:2017-02-26 Published:2017-02-26
  • Supported by:

    Supported by the Natural Science Foundation of Shandong Province (ZR2012AM018) and the Fundamental Research Funds for the Central Universities (201362032)

摘要:

该文研究了具有加权非局部源项和Robin边界条件的反应-扩散方程.当解发生爆破时,利用修正微分不等式技巧,在高维空间中导出了不同测度意义下解的爆破时间下界.

关键词: 反应-扩散方程, 加权函数, 爆破时间下界

Abstract:

We investigate a reaction-diffusion equation with weighted nonlocal inner sources and Robin type boundary conditions. By virtue of a differential inequality technique to determine lower bounds of blow-up time in the higher dimensional spaces under different measure sense when blow-up occurs.

Key words: Reaction-Diffusion equation, Weight function, Lower bounds of blow-up time

中图分类号: 

  • O175.2