Finite time blowup for a semilinear pseudo-parabolic equation with general nonlinearity

被引：17

作者：

Han, Yuzhu ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 99卷

关键词：

Blow-up; Pseudo-parabolic; General nonlinearity; GLOBAL EXISTENCE; INSTABILITY;

D O I：

10.1016/j.aml.2019.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a semilinear pseudo-parabolic equation with a general nonlinearity is considered. A new finite time blow-up criterion for this problem is established. Moreover, the upper bound for the blow-up time is also derived. The results partially generalize some recent ones obtained in [Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy, Applied Mathematics Letters, 83(2018), 176-181] by Runzhang Xu et al. (C) 2019 Elsevier Ltd. All rights reserved.

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