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

李娜, 房少梅

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

数学季刊 >

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

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

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

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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.

收稿日期: 2021-11-22

网络出版日期: 2022-03-30

基金资助

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

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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

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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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

本文引用格式

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

Abstract

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

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