BLOW-UP OF THE SOLUTION FOR SEMILINEAR DAMPED WAVE EQUATION WITH TIME-DEPENDENT DAMPING

DOI10.1142/S0219199712500344zbMath1255.35172OpenAlexW2033234086MaRDI QIDQ3166706

Jiayun Lin, Jian Zhai

Publication date: 15 October 2012

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199712500344

zbMATH Keywords

life-spansubcritical exponent

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Modulation space estimates for damped fractional wave equation

Cites Work

• Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
• Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
• A blow-up result for a nonlinear wave equation with damping: The critical case
• Ordinary Differential Equations and Dynamical Systems
• Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Critical exponent for a nonlinear wave equation with damping
• Critical exponent for a nonlinear wave equation with damping

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