Global existence and nonexistence of solution to a nonlinear wave equation

DOI10.4171/ZAA/1440zbMath1242.35173OpenAlexW1996534583MaRDI QIDQ647931

Nana Pan

Publication date: 22 November 2011

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1440

zbMATH Keywords

decay ratesource and damping terms

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44)

Cites Work

• Global nonexistence for a quasilinear evolution equation with a generalized Lewis function
• Systems of nonlinear wave equations with damping and source terms.
• Global nonexistence of solutions to a semilinear wave equation in the Minkowski space
• Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term
• Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
• A blow up result for a nonlinear wave equation with damping and vanishing initial energy in \(\mathbb R^N\)
• Blow up and global existence in a nonlinear viscoelastic wave equation
• Global existence and nonexistence for a nonlinear wave equation with damping and source terms

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