An elementary proof of global or almost global existence for quasi-linear wave equations
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Publication:1885489
DOI10.2748/tmj/1113246554zbMath1056.35119OpenAlexW2112394093MaRDI QIDQ1885489
Publication date: 5 November 2004
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1113246554
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)
Related Items (18)
Global existence for nonlinear elastic waves in high space dimensions ⋮ Global existence for quasilinear wave equations exterior to star-shaped regions with inhomogeneous boundary conditions ⋮ Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ The lifespan for quasilinear wave equations with multiple propagation speeds in four space dimensions ⋮ Uniform bound of Sobolev norms of solutions to 3D nonlinear wave equations with null condition ⋮ The Lifespan for Nonlinear Wave Equation Outside of Star-Shaped Obstacle in Three Space Dimensions ⋮ Global existence of null-form wave equations in exterior domains ⋮ The lifespan for nonlinear wave equations with multiple propagation speeds in 3D ⋮ Nonresonance and global existence of nonlinear elastic wave equations with external forces ⋮ Almost global existence for quasilinear wave equations in waveguides with Neumann boundary conditions ⋮ The almost global and global existence for quasi-linear wave equations with multiple-propagation speeds in high dimensions ⋮ Hyperbolic trapped rays and global existence of quasilinear wave equations ⋮ The lifespan for quasi-linear wave equations with multiple-speeds in space dimensions \(n\geq 3\) ⋮ Global existence for Dirichlet-wave equations with quadratic nonlinearities in high dimensions ⋮ Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic system ⋮ Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D ⋮ Uniform bound of the highest energy for the three dimensional incompressible elastodynamics ⋮ Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms
Cites Work
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