Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (06): 1400-1402.

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Estimation of Lower Bounds of  Blow-up Time for Variable Sign Solutions of Semilinear Parabolic Equations with Nonlocal Sources#br#

SUN Aihui1, CHEN Peng1, LI Yan1, BAO Kaihua2   

  1. 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China; 2. College of Mathematics,  Inner Mongolia University for Nationalities, Tongliao 028000,Inner Mongolia Autonomous Region, China
  • Received:2019-08-29 Online:2019-11-26 Published:2019-11-21
  • Contact: SUN Aihui E-mail:sunaihui2002@126.com

Abstract: We considered  the blow\|up properties of solutions of Neuman boundary value problems for  a class of semilinear parabolic equations with nonlocal sources. By constructing auxiliary  functions and  using  the first order differential inequality, we gave the estimation of  lower bound of  blow\|up time for  solutions of the  equations.

Key words: nonlocal source, semilinear, blow-up time, lower bound

CLC Number: 

  • O175.8