Lower bounds of the life span of classical solutions to a system of semilinear wave equations in two space dimensions

DOI10.1016/S0022-247X(02)00330-XzbMath1024.35065OpenAlexW1975517212MaRDI QIDQ1399294

Mariagrazia Di Flaviano

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00330-x

zbMATH Keywords

propagation speedslower bounds for life spansmallness assumptions on the data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Higher-order hyperbolic systems (35L55) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Almost global existence for nonlinear wave equations in an exterior domain in two space dimensions ⋮ On the pointwise decay estimate for the wave equation with compactly supported forcing term

Cites Work

• Global existence theorem for semilinear wave equations with non-compact data in two space dimensions
• Finite-time blow-up for solutions of nonlinear wave equations
• Existence in the large for \(cmu=F(u)\) in two space dimensions
• Life span of classical solutions to \(\square u = | u | ^ p\) in two space dimensions
• Existence of a global solution to a semi-linear wave equation with initial data of non-compact support in low space dimensions
• A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems
• Critical blowup for systems of semilinear wave equations in low space dimensions
• Nonexistence of global solutions of a nonlinear hyperbolic system
• Blow-up for solutions of □u=|u|^pwith small initial data.
• A Global Existence Theorem for Semilinear Wave Equations with Data of Non Compact Support in Two Space Dimensions
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Scattering for systems of semilinear wave equations with different speeds of propagation.
• Asymptotic behavior of classical solutions to a system of semilinear wave equations in low space dimensions
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