Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 146-157.

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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)

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

CLC Number: 

  • O175.2
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