Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic systems in divergence form
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Publication:837592
DOI10.1016/j.jmaa.2009.05.050zbMath1178.35240OpenAlexW2012041756MaRDI QIDQ837592
Publication date: 20 August 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.050
Classical linear elasticity (74B05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Initial value problems for second-order hyperbolic equations (35L15) Second-order hyperbolic systems (35L51) Second-order quasilinear hyperbolic equations (35L72)
Cites Work
- Nonresonance and global existence of prestressed nonlinear elastic waves
- Global existence of classical solutions to systems of wave equations with critical nonlinearity in three space dimensions
- Global existence of nonlinear elastic waves
- The global existence theorem for quasi-linear wave equations with multiple speeds
- The null condition and global existence of nonlinear elastic waves
- The lifespan for nonlinear wave equations with multiple propagation speeds in 3D
- Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
- The decay of solutions of the exterior initial-boundary value problem for the wave equation
- Global behavior of solutions to nonlinear wave equations in three dimensions
- Global solutions of nonlinear hyperbolic equations for small initial data
- Blow-up for quasi-linear wave equations in three space dimensions
- Almost global existence for quasilinear wave equations in three space dimensions
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