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

Autor:	Yuzhu Han
Rok vydání:	2019
Předmět:	Logarithm Applied Mathematics media_common.quotation_subject 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs Infinity 01 natural sciences 010101 applied mathematics Nonlinear system Heat equation 0101 mathematics Analysis Mathematics Logarithmic sobolev inequality media_common
Zdroj:	Journal of Mathematical Analysis and Applications. 474:513-517
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2019.01.059
Popis:	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] .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7d46108560f74e261835b58aa17a641c https://doi.org/10.1016/j.jmaa.2019.01.059 Zobrazit plný text záznamu Full Text from ScienceDirect