The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
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Publication:2202480
DOI10.3934/era.2020016zbMath1447.35060OpenAlexW3009567837MaRDI QIDQ2202480
Publication date: 18 September 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020016
Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
Related Items (23)
Semilinear Caputo time-fractional pseudo-parabolic equations ⋮ Global existence and asymptotic behaviour for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Blow-up phenomena for a class of extensible beam equations ⋮ Blow-up phenomena for a damped plate equation with logarithmic nonlinearity ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ Energy Decay for a Type of Plate Equation with Degenerate Energy Damping and Source Term ⋮ Lifespan estimates and asymptotic stability for a class of fourth-order damped \(p\)-Laplacian wave equations with logarithmic nonlinearity ⋮ Blow up results for a viscoelastic Kirchhoff-type equation with logarithmic nonlinearity and strong damping ⋮ Infinite time blow-up of solutions for a plate equation with weak damping and logarithmic nonlinearity ⋮ Unnamed Item ⋮ Existence, nonexistence, and stability of solutions for a delayed plate equation with the logarithmic source ⋮ Well-posedness results and blow-up for a semi-linear time fractional diffusion equation with variable coefficients ⋮ A class of fourth-order hyperbolic equations with strongly damped and nonlinear logarithmic terms ⋮ Non-global solution for visco-elastic dynamical system with nonlinear source term in control problem ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ Blow-up phenomena for the sixth-order Boussinesq equation with fourth-order dispersion term and nonlinear source ⋮ Global existence, exponential decay and blow-up of solutions for a class of fractional pseudo-parabolic equations with logarithmic nonlinearity ⋮ Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge ⋮ Existence and limit problem for fractional fourth order subdiffusion equation and Cahn-Hilliard equation ⋮ Existence and blow-up of solutions for fractional wave equations of Kirchhoff type with viscoelasticity ⋮ Global well-posedness of solutions for the \(p\)-Laplacian hyperbolic type equation with weak and strong damping terms and logarithmic nonlinearity
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