On the quasilinear wave equations in time dependent inhomogeneous media

DOI10.1142/S0219891616500090zbMath1364.35202arXiv1312.7264OpenAlexW2763745528MaRDI QIDQ2818342

Shiwu Yang

Publication date: 7 September 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7264

zbMATH Keywords

global stabilitynull conditionsmall data global existenceintegrated local energy estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items (8)

Uniform estimates for 2D quasilinear wave ⋮ On the global behavior of solutions of the Maxwell-Klein-Gordon equations ⋮ Unnamed Item ⋮ Evanescent ergosurface instability ⋮ A local energy estimate for wave equations on metrics asymptotically close to Kerr ⋮ Global existence for quasilinear wave equations close to Schwarzschild ⋮ Global existence for semilinear damped wave equations in relation with the Strauss conjecture ⋮ Global stability for nonlinear wave equations with multi-localized initial data

Cites Work

• Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
• The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model
• A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
• Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
• Time decay for the nonlinear Klein-Gordon equation
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