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
On a singular epitaxial thin‐film growth equation involving logarithmic nonlinearity
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DOI: 10.1002/mma.9887
Abstract: This paper is concerned with the well‐posedness and asymptotic behavior for a singular epitaxial thin‐film growth equation with logarithmic nonlinearity under the Navier boundary condition. Based on the technique of cut‐off and combining with Hardy–Sobolev… read more here.
Keywords: logarithmic nonlinearity; epitaxial thin; growth equation; singular epitaxial ... 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;
On the Cauchy problem for the generalized double dispersion equation with logarithmic nonlinearity
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DOI: 10.1515/anly-2023-0072
Abstract: Abstract In this paper, we investigate the global existence and finite time blow-up of solution for the Cauchy problem of one-dimensional fifth-order Boussinesq equation with logarithmic nonlinearity. Fist we prove the existence and uniqueness of… read more here.
Keywords: equation logarithmic; cauchy problem; logarithmic nonlinearity;
Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity
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DOI: 10.1515/dema-2025-0137
Abstract: Abstract Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in R N {{\mathbb{R}}}^{N} via the variational approach. To address the modulation coefficient in fractional… read more here.
Keywords: logarithmic nonlinearity; fractional kirchhoff; double phase; kirchhoff double ... See more keywords