scientific article; zbMATH DE number 7688192

DOI10.4134/bkms.b210853zbMath1514.35062MaRDI QIDQ6039845

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Publication date: 23 May 2023

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

nonlinear dampinglogarithmic source termnonlinear viscoelastic Petrovsky-type equation

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Related Items (1)

Asymptotic behavior of solutions for a nonlinear viscoelastic higher-order \(p(x)\)-Laplacian equation with variable-exponent logarithmic source term

Cites Work

• Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term
• Blow-up of solution for a nonlinear Petrovsky type equation with memory
• Global nonexistence for a semilinear Petrovsky equation
• Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
• Existence and a general decay result for a plate equation with nonlinear damping and a logarithmic source term
• Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity
• Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level
• Blowup for nonlinearly damped viscoelastic equations with logarithmic source and delay terms
• The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term
• Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy
• Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Decay estimates for second order evolution equations with memory
• GLOBAL SOLUTION AND BLOW-UP OF LOGARITHMIC KLEIN-GORDON EQUATION
• Équations d'évolution avec non linéarité logarithmique
• Existence and decay of solutions for a higher-order viscoelastic wave equation with logarithmic nonlinearity
• Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay
• Global existence and nonexistence in a system of Petrovsky
• Unnamed Item

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