具有一般非线性项的半线性抛物方程解的有限时间爆破和爆破时间上界

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

数学季刊 ›› 2022, Vol. 37 ›› Issue (1): 103-110.doi: 10.13371/j.cnki.chin.q.j.m.2022.01.011

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具有一般非线性项的半线性抛物方程解的有限时间爆破和爆破时间上界

College of Mathematics and Information, South China Agricultural University

收稿日期:2021-11-22 出版日期:2022-03-30 发布日期:2022-03-30
通讯作者: 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
作者简介: 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.
基金资助:
Supported by the Nation Natural Science Foundation of China (Grant No. 11271141);
Chongqing Science and Technology Commission (Grant No. cstc2018jcyjAX0787).

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

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).

摘要/Abstract

摘要： 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.

关键词: Semilinear parabolic equation, General nonlinearity, Finite time blowup, Upper bound

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

中图分类号:

O175.29

李娜, 房少梅. 具有一般非线性项的半线性抛物方程解的有限时间爆破和爆破时间上界 [J]. 数学季刊, 2022, 37(1): 103-110.

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.

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具有一般非线性项的半线性抛物方程解的有限时间爆破和爆破时间上界

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

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