Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (1): 103-110.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.011

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Finite Time Blowup with Upper Bound of Blowup Time of Solutions to Semilinear Parabolic Equations with General Nonlinearity

  

  1. College of Mathematics and Information, South China Agricultural University
  • Received:2021-11-22 Online:2022-03-30 Published:2022-03-30
  • Contact: FANG Shao-mei (1964-), female, native of Guangzhou, Guangdong, professor of South China Agricultural University, engages in partial differential equation. E-mail: dz90@scau.edu.cn
  • About author: LI Na (1994-), female, native of Zhumadian, Henan, graduate student of South China Agricultural University, engages in partial differential equation; FANG Shao-mei (1964-), female, native of Guangzhou, Guangdong, professor of South China Agricultural University, engages in partial differential equation.
  • Supported by:
    Supported by the Nation Natural Science Foundation of China (Grant No. 11271141);
    Chongqing Science and Technology Commission (Grant No. cstc2018jcyjAX0787).

Abstract: In this paper, we consider a semilinear parabolic equation with a general nonlinearity. We establish a new finite time blow-up criterion and also derive the upper bound for the blow-up time. The results partially generalize some recent ones obtained by He Ma et al.

Key words: Semilinear parabolic equation, General nonlinearity, Finite time blowup, Upper bound

CLC Number: