Journal of Jilin University Science Edition

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BlowUp Profile of Solutions for a Class of ParabolicEquations with Nonlocal Boundary Conditions

LI Haixia1, HAN Yuzhu2   

  1. 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2017-03-10 Online:2017-11-26 Published:2017-11-29
  • Contact: HAN Yuzhu E-mail:yzhan@jlu.edu.cn

Abstract: We considered a blowup profile of solutions for a class of parabolic equations with nonlocal boundary conditions. On the basis of some integral inequalities, we suitably weakened the assumptions about the initial values, and obtained the global blowup properties and the blowup rate estimates of positive solutions.

Key words: blowup rate, blowup profile, global blowup, nonlocal boundary condition

CLC Number: 

  • O175.8