Asymptotic behavior for Petrovsky equation with localized damping

DOI10.1007/S10440-009-9493-6zbMath1191.35058OpenAlexW1986927545MaRDI QIDQ970501

Xiaosen Han, Mingxin Wang

Publication date: 19 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-009-9493-6

zbMATH Keywords

energy decay ratepiecewise multiplier techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for nonlinear higher-order PDEs (35G30) Higher-order hyperbolic systems (35L55)

Related Items (7)

Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term ⋮ Control of a flexible satellite with an internal nonlinear disturbance ⋮ Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy ⋮ Continuous dependence of semilinear Petrovsky equation ⋮ Asymptotic energy estimates for nonlinear Petrovsky plate model subject to viscoelastic damping ⋮ Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type ⋮ Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level

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