A uniqueness result for Kirchhoff equations with non-Lipschitz nonlinear term

DOI10.1016/j.aim.2009.09.017zbMath1190.35162arXiv0807.1411OpenAlexW2110646515MaRDI QIDQ846982

Massimo Gobbino, Marina Ghisi

Publication date: 16 February 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1411

zbMATH Keywords

continuity modulusGevrey spaces

Mathematics Subject Classification ID

Degenerate hyperbolic equations (35L80) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Second-order semilinear hyperbolic equations (35L71)

Related Items (5)

Dynamics of nonlinear hyperbolic equations of Kirchhoff type ⋮ Asymptotic stability of stationary solutions for the Kirchhoff equation ⋮ Initial boundary value problem for a Kirchhoff wave model with strong nonlinear damping ⋮ The existence of least energy sign-changing solution for Kirchhoff-type problem with potential vanishing at infinity ⋮ Spectral gap global solutions for degenerate Kirchhoff equations

Cites Work

• Global solutions for dissipative Kirchhoff strings with non-Lipschitz nonlinear term
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type
• Derivative loss for Kirchhoff equations with non-Lipschitz nonlinear term
• On the Well-Posedness of the Kirchhoff String
• Degenerate Kirchhoff equation in ultradifferentiable class
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