Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
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Publication:3559646
DOI10.2422/2036-2145.2009.4.01zbMath1197.35069arXiv0805.0244OpenAlexW2964170907MaRDI QIDQ3559646
Publication date: 6 May 2010
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.0244
Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Degenerate hyperbolic equations (35L80) Abstract hyperbolic equations (35L90) Second-order quasilinear hyperbolic equations (35L72)
Related Items (11)
Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Almost global well-posedness of Kirchhoff equation with Gevrey data ⋮ A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term ⋮ Linear wave equations with time-dependent propagation speed and strong damping ⋮ Asymptotic stability of stationary solutions for the Kirchhoff equation ⋮ Initial boundary value problem for a Kirchhoff wave model with strong nonlinear damping ⋮ Three examples of residual pathologies ⋮ Universal bounds for a class of second order evolution equations and applications ⋮ Kirchhoff equations with strong damping ⋮ On the Gevrey well-posedness of the Kirchhoff equation ⋮ Spectral gap global solutions for degenerate Kirchhoff equations
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