Almost global existence for quasilinear wave equations in waveguides with Neumann boundary conditions

DOI10.1090/S0002-9947-07-04290-0zbMath1145.35088arXivmath/0509326MaRDI QIDQ5423903

Jason Metcalfe, Ann Ann Stewart

Publication date: 1 November 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509326

zbMATH Keywords

Galerkin methodKlein-Gordon equationsquadratic nonlinearities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (3)

Global stability of spacetimes with supersymmetric compactifications ⋮ Well-posedness of the equation for the three-form field in eleven-dimensional supergravity ⋮ Nonlinear wave equation in a cosmological Kaluza Klein spacetime

Cites Work

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• Hyperbolic trapped rays and global existence of quasilinear wave equations
• Lectures on nonlinear hyperbolic differential equations
• Nonresonance and global existence of prestressed nonlinear elastic waves
• Elliptic partial differential equations of second order
• Global existence for a quasilinear wave equation outside of star-shaped domains
• Almost global existence for some semilinear wave equations
• An elementary proof of global or almost global existence for quasi-linear wave equations
• Global behavior of solutions to nonlinear wave equations in three dimensions
• Blow-up for quasi-linear wave equations in three space dimensions
• Nonlinear Wave Equations in Infinite Waveguides
• Nonlinear Hyperbolic Equations in Infinite Homogeneous Waveguides

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