Finite time blow-up for a viscoelastic wave equation with weak-strong damping and power nonlinearity

zbMath1475.35078MaRDI QIDQ2231250

Tosiya Miyasita, Khaled Zennir

Publication date: 29 September 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://projecteuclid.org/ojm/5232

zbMATH Keywords

concavity method

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

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Cites Work

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• General decay of solutions for damped wave equation of Kirchhoff type with density in \(\mathbb R^n\)
• On the existence and decay of solution for viscoelastic wave equation with nonlinear source in weighted spaces
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• Global existence and finite time blow up for a class of semilinear wave equations on \(\mathbb{R}^N\)
• General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
• Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
• A sharper decay rate for a viscoelastic wave equation with power nonlinearity
• Note on intrinsic decay rates for abstract wave equations with memory
• Global existence and blow-up results for an equation of Kirchhoff type on \(\mathbb{R}^N\)
• Global existence and blow-up results for some nonlinear wave equations on \(\mathbb{R}^N\)

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