Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Han, Yuzhu¹ 

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

关键词: Semilinear heat equation;    Logarithmic nonlinearity;    Blow up at infinity;   

DOI  :  10.1016/j.jmaa.2019.01.059

来源: Elsevier

【 摘 要 】

In this short note, the author establishes a blow-up result for a semilinear heat equation with logarithmic nonlinearity, by using the logarithmic Sobolev inequality. This improves a recent blow-up result obtained in Chen et al. (2015) [1]. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free