Longtime behavior of the hyperbolic equations with an arbitrary internal damping

DOI10.1007/S00033-010-0113-0zbMath1264.35041OpenAlexW2058312563MaRDI QIDQ1938457

Xiaoyu Fu

Publication date: 4 February 2013

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-010-0113-0

zbMATH Keywords

resolvent operatorglobal Carleman estimatelogarithmic stabilityinterpolation inequatiliylogarithmic decay rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45)

Related Items (5)

Polynomial stability of an abstract system with local damping ⋮ A one-step optimal energy decay formula for indirectly nonlinearly damped hyperbolic systems coupled by velocities ⋮ A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping ⋮ Longtime behavior of wave equation with kinetic boundary condition ⋮ Stabilization of hyperbolic equations with mixed boundary conditions

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