Mildly degenerate kichhoff equations with damping in unbounded domain

DOI10.1080/00036819708840607zbMath0894.35073OpenAlexW1968716684WikidataQ58304159 ScholiaQ58304159MaRDI QIDQ4385736

Kosuke Ono

Publication date: 20 April 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840607

zbMATH Keywords

Kirchhoff stringsdissipative termalgebraic decay ratesunique global \(C^2\)-solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80) Strings (74K05)

Related Items (3)

Hyperbolic-parabolic singular perturbation for quasilinear equations of Kirchhoff type ⋮ Global solutions for dissipative Kirchhoff strings with non-Lipschitz nonlinear term ⋮ Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback

Cites Work

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• A comparison theorem for difference inequalities
• Decay of solutions of some nonlinear evolution equations
• Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative terms
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term
• On some quasilinear wave equations with dissipative terms
• Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
• On the mildly degenerate Kirchhoff string
• On the Well-Posedness of the Kirchhoff String

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