Asymptotic profiles for the Kirchhoff equation

DOI10.4171/RLM/475zbMath1150.35067MaRDI QIDQ2460788

Tokio Matsuyama

Publication date: 13 November 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

Kirchhoff equationasymptotic profilesscattering states

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (7)

Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation ⋮ \(L^{p}-L^{q}\) estimates for wave equations and the Kirchhoff equation ⋮ Necessary condition on the dissipative term for the asymptotically free property of dissipative Kirchhoff equations ⋮ Scattering for one dimensional perturbed Kirchhoff equations ⋮ Asymptotically free property of the solutions of an abstract linear hyperbolic equation with time-dependent coefficients ⋮ On the existence time for the Kirchhoff equation with periodic boundary conditions ⋮ Scattering for strictly hyperbolic systems with time-dependent coefficients

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