Global existence and optimal decay rate of solutions for the degenerate quasilinear wave equation with a strong dissipation

DOI10.1080/00036811003649090zbMath1192.35024OpenAlexW2052500546WikidataQ58129914 ScholiaQ58129914MaRDI QIDQ3569220

Abbes Benaissa, Noureddine Amroun, Salima Mimouni

Publication date: 18 June 2010

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

Full work available at URL: https://doi.org/10.1080/00036811003649090

zbMATH Keywords

integral inequalitiesmultiplier methodpolynomial, exponential or logarithmic decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Degenerate hyperbolic equations (35L80) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (2)

Global solutions for a nonlinear Kirchhoff type equation with viscosity ⋮ Asymptotic behavior for a nondissipative and nonlinear system of the Kirchhoff viscoelastic type

Cites Work

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• A new method to obtain decay rate estimates for dissipative systems
• On local solutions of some mildly degenerate hyperbolic equations
• On the mildly degenerate Kirchhoff string
• Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation

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