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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… Click to show full 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 al. (2015) [1] .
Keywords:
heat equation;
equation logarithmic;
logarithmic nonlinearity;
semilinear heat
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!