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

LI Na, FANG Shao-mei

doi:10.13371/j.cnki.chin.q.j.m.2022.01.011

Chinese Quarterly Journal of Mathematics >

2022 , Vol. 37 >Issue 1: 103 - 110

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2022.01.011

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

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College of Mathematics and Information, South China Agricultural University

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.

Received date: 2021-11-22

Online published: 2022-03-30

Supported by

Supported by the Nation Natural Science Foundation of China (Grant No. 11271141);
Chongqing Science and Technology Commission (Grant No. cstc2018jcyjAX0787).

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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

Cite this article

LI Na, FANG Shao-mei . Finite Time Blowup with Upper Bound of Blowup Time of Solutions to Semilinear Parabolic Equations with General Nonlinearity[J]. Chinese Quarterly Journal of Mathematics, 2022 , 37(1) : 103 -110 . DOI: 10.13371/j.cnki.chin.q.j.m.2022.01.011

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