Blow-up of certain solutions to nonlinear wave equations in the Kirchhoff-type equation with variable exponents and positive initial energy

DOI10.1155/2021/5592918zbMath1464.35040OpenAlexW3145899362MaRDI QIDQ2025750

Loay Alkhalifa, Khaled Zennir, H. Dridi

Publication date: 17 May 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/5592918

zbMATH Keywords

\(p(x)\)-Laplacian operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

Normalized solutions to the Kirchhoff equation with potential term: mass super-critical case ⋮ Kirchhoff-type fractional Laplacian problems with critical and singular nonlinearities ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Orlicz spaces and modular spaces
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• Stabilization for solutions of plate equation with time-varying delay and weak-viscoelasticity in \(\mathbb{R}^n\)
• On the general decay of a nonlinear viscoelastic plate equation with a strong damping and \(\vec{p}(x,t)\)-Laplacian
• Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents
• General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan‐Taylor damping and logarithmic nonlinearity
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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