Blow-up at infinity of solutions to a semilinear heat equation with logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.059
Abstract: Abstract 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… read more here.
Keywords: heat equation; equation logarithmic; logarithmic nonlinearity; semilinear heat ... See more keywords
Global existence and blow-up of solutions to a semilinear heat equation with logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1698726
Abstract: ABSTRACT In this paper, we study the initial boundary value problem of a semilinear heat equation with logarithmic nonlinearity. By using potential well method and energy method, we obtain the existence of global solutions and… read more here.
Keywords: semilinear heat; equation logarithmic; logarithmic nonlinearity; heat equation ... See more keywords
Pullback attraction in $H_{0}^{1}$ for semilinear heat equation in expanding domains
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DOI: 10.1186/s13661-020-01354-z
Abstract: In this article, we consider the pullback attraction in $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about variational solutions; then, we prove… read more here.
Keywords: attraction; semilinear heat; pullback attraction; heat equation ... See more keywords
Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020042
Abstract: This paper concerns with a semilinear heat equation with singular potential and logarithmic nonlinearity. By using the logarithmic Sobolev inequality and a family of potential wells, the existence of global solutions and infinite time blow-up… read more here.
Keywords: semilinear heat; heat equation; equation singular; singular potential ... See more keywords