Sufficient condition for logarithmic nonlinearity in nonlinear evolution equations
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DOI: 10.1002/mma.7016
Abstract: In this paper, the author establishes a sufficient condition for logarithmic nonlinearity in nonlinear evolution equations. Lian et al. (Nonlinear Anal. 184, 2019, 239–257) proved the existence and blow‐up of solution for the hyperbolic equations… read more here.
Keywords: nonlinearity nonlinear; nonlinearity; logarithmic nonlinearity; condition logarithmic ... 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
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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
Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity
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DOI: 10.1186/s13661-020-01382-9
Abstract: In this paper, we are concerned with the decay rate of the solution of a viscoelastic plate equation with infinite memory and logarithmic nonlinearity. We establish an explicit and general decay rate results with imposing… read more here.
Keywords: logarithmic nonlinearity; viscoelastic plate; plate equation;