Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (04): 747-752.

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Finite Time BlowUp of Solutions to Parabolic TypeKirchhoff Equation with General Nonlinearity

LI Haixia1, CAO Chunling2   

  1. 1. School of Mathematics, Changchun Normal University, Changchun 130032, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2018-08-22 Online:2019-07-26 Published:2019-07-11
  • Contact: CAO Chunling E-mail:caocl@jlu.edu.cn

Abstract: We considered the finite time blowup of solutions to a class of parabolic type Kirchhoff equations with general nonlinearity. By using the first order differential inequality and convexity arguments, we gave some sufficient conditions for the solutions to blow
 up in finite time, and obtained the upper bound estimate of the blowup time.

Key words: Kirchhoff equation, general nonlinearity, blowup, upper bound

CLC Number: 

  • O175.8