Logarithmic Hölder continuous mappings and Beltrami equation
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DOI: 10.1007/s13324-021-00573-6
Abstract: The paper is devoted to the study of mappings satisfying the inverse inequality of Poletsky type. Here we have studied the case when the majorant in this inequality is integrable on some set of spheres… read more here.
Keywords: logarithmic lder; continuous mappings; equation; lder continuous ... See more keywords
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