One-dimensional Kirchhoff equation

DOI10.1016/S0362-546X(00)00181-4zbMath0991.35053MaRDI QIDQ5952710

Witold Rzymowski

Publication date: 1 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

existence of a global solution

Mathematics Subject Classification ID

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

Related Items

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 ⋮ Existence of ground state solution for a class of one-dimensional Kirchhoff-type equations with asymptotically cubic nonlinearities ⋮ Asymptotic profiles for 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 ⋮ On the Gevrey well-posedness of the Kirchhoff equation ⋮ Global solvability for the Kirchhoff equations in exterior domains of dimension three ⋮ Small amplitude periodic solutions for Kirchhoff equations with Neumann conditions

Cites Work

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• Scattering for a quasilinear hyperbolic equation of Kirchhoff type
• Kirchhoff type equations depending on a small parameter
• The initial value problem for a stretched string
• Nonlinear perturbations of the kirchhoff equation
• The Cauchy problem for Kirchhoff equations