Mathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity

DOI10.5269/BSPM.51971OpenAlexW4221118145MaRDI QIDQ6189596

Erhan Pişkin, Nazlı Irkıl

Publication date: 8 February 2024

Published in: Boletim da Sociedade Paranaense de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5269/bspm.51971

zbMATH Keywords

existencelogarithmic nonlinearitydecay of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order hyperbolic equations (35L25)

Cites Work

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• \(n\)-Kirchhoff type equations with exponential nonlinearities
• Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy
• On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
• On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
• Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term
• Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
• General stability and exponential growth for a class of semi-linear wave equations with logarithmic source and memory terms
• Qualitative analysis of solutions for a class of Kirchhoff equation with linear strong damping term, nonlinear weak damping term and power-type logarithmic source term
• Existence of positive solutions for the nonlinear Kirchhoff type equations in \(\mathbb{R}^n\)
• Blow-up of solutions to a \(p\)-Kirchhoff-type parabolic equation with general nonlinearity
• Polynomial decay rate for Kirchhoff type in viscoelasticity with logarithmic nonlinearity and not necessarily decreasing kernel
• The existence and the asymptotic behavior of a plate equation with frictional damping and a logarithmic source term
• Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
• Nonlinear partial differential equations in engineering. Vol. II
• Équations d'évolution avec non linéarité logarithmique
• Well-posedness results for a sixth-order logarithmic Boussinesq equation

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