Blow-up results for a nonlinear hyperbolic equation with Lewis function

DOI10.1155/2009/691496zbMath1179.35196OpenAlexW1982255321WikidataQ59220011 ScholiaQ59220011MaRDI QIDQ1032993

Faramarz Tahamtani

Publication date: 6 November 2009

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45621

zbMATH Keywords

estimates of the lifespan

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order quasilinear hyperbolic equations (35L77)

Related Items (2)

Upper and lower bounds for the blow-up time for a viscoelastic wave equation with dynamic boundary conditions ⋮ Asymptotic stability and blow up of solutions for a Petrovsky inverse source problem with dissipative boundary condition

Cites Work

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• Global nonexistence for a semilinear Petrovsky equation
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
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• Nonexistence of global solutions of some quasilinear hyperbolic equations
• The reaction-diffusion equation with Lewis function and critical Sobolev exponent
• Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
• A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation
• A blow up result for a nonlinear wave equation with damping and vanishing initial energy in \(\mathbb R^N\)
• On the Strongly Damped Wave Equation: $u_{tt} - \Delta u - \Delta u_t + f(u) = 0$
• Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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