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

DOI10.1016/j.apnum.2019.01.002zbMath1437.35449OpenAlexW2910169544WikidataQ128558663 ScholiaQ128558663MaRDI QIDQ2000110

Jiaheng Li, Tao Yu, Yanbing Yang

Publication date: 27 June 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.01.002

zbMATH Keywords

potential well method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Existence and decay of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity ⋮ Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation ⋮ Global existence and finite time blow-up for a class of fractional \(p\)-Laplacian Kirchhoff type equations with logarithmic nonlinearity ⋮ Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities ⋮ Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ Mathematical behavior of solutions of the Kirchhoff type equation with logarithmic nonlinearity ⋮ Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity ⋮ Global well-posedness of solutions for the \(p\)-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity

Cites Work

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