Scattering for a quasilinear hyperbolic equation of Kirchhoff type
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Publication:1381624
DOI10.1006/jdeq.1997.3372zbMath0895.35067OpenAlexW2013924529MaRDI QIDQ1381624
Publication date: 20 September 1998
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1997.3372
Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (17)
Global solutions for dissipative Kirchhoff strings with non-Lipschitz nonlinear term ⋮ On the convergence of a three-layer semi-discrete scheme for the nonlinear dynamic Kirchhoff string equation ⋮ Global well-posedness of Kirchhoff systems ⋮ Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy ⋮ Global well-posedness for the exterior initial-boundary value problem to the Kirchhoff equation ⋮ Majorant sign of the first order for totally global solvability of a controlled functional operator equation ⋮ On preservation of global solvability of controlled second kind operator equation ⋮ \(L^{p}-L^{q}\) estimates for wave equations and the Kirchhoff equation ⋮ 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 ⋮ Time decay for hyperbolic equations with homogeneous symbols ⋮ One-dimensional Kirchhoff equation ⋮ Global solutions for dissipative Kirchhoff strings with \(m(r)=r^p\) \((p<1)\) ⋮ On the singularly perturbation fractional Kirchhoff equations: critical case ⋮ Non-degeneracy of positive solutions for fractional Kirchhoff problems: high dimensional cases
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