Global solvability for the Kirchhoff equations in exterior domains of dimension three

DOI10.1016/j.jde.2004.10.012zbMath1062.35045OpenAlexW1994161923MaRDI QIDQ1776829

Taeko Yamazaki

Publication date: 12 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.jde.2004.10.012

zbMATH Keywords

wave equationexterior domainquasilinear hyperbolic equationthree space dimensions

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (19)

On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation ⋮ Global well-posedness of Kirchhoff systems ⋮ Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation ⋮ Notes on a paper of Pokhozhaev ⋮ Initial boundary value problem for a Kirchhoff wave model with strong nonlinear damping ⋮ A road map to the blow-up for a Kirchhoff equation with external force ⋮ Almost Global Existence for Kirchhoff Equations Around Global Solutions ⋮ Stability of vibrations for some Kirchhoff equation with dissipation. ⋮ Asymptotic profiles for the Kirchhoff equation ⋮ Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations ⋮ Kirchhoff equations with strong damping ⋮ On the Gevrey well-posedness of the Kirchhoff equation ⋮ A class of non-analytic functions for the global solvability of Kirchhoff equation ⋮ An attractor for the singularly perturbed Kirchhoff equation with supercritical nonlinearity ⋮ Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension ⋮ Editorial. Progress in nonlinear Kirchhoff problems ⋮ Pullback attractors for nonautonomous degenerate Kirchhoff equations with strong damping ⋮ Critical Kirchhoff \(p(\cdot) \& q(\cdot)\)-fractional variable-order systems with variable exponent growth ⋮ Small amplitude periodic solutions for Kirchhoff equations with Neumann conditions

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