Global existence for nonlinear elastic waves in high space dimensions

DOI10.1016/j.na.2016.09.005zbMath1368.35173OpenAlexW2541662193MaRDI QIDQ343027

Weimin Peng, Wei-Guo Zhang

Publication date: 18 November 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.09.005

zbMATH Keywords

global existencenonlinear elastic waves

Mathematics Subject Classification ID

Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (2)

Space-time \(L^{2}\) estimates for elastic waves and applications ⋮ Periodic solutions to nonlinear wave equations with \(x\)-dependent coefficients at resonance

Cites Work

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• Nonresonance and global existence of prestressed nonlinear elastic waves
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• An elementary proof of global or almost global existence for quasi-linear wave equations
• The null condition and global existence of nonlinear elastic waves
• Delayed singularity formation in 2D compressible flow
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Almost global existence of elastic waves of finite amplitude arising from small initial disturbances
• Global existence for nonlinear wave equations

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