Well-posedness and energy decay estimates for the damped wave equation with lrlocalizing coefficient

DOI10.1080/03605309808821403zbMath0918.35078OpenAlexW2073982936MaRDI QIDQ4220081

Louis Roder Tcheugoué Tébou

Publication date: 30 May 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309808821403

zbMATH Keywords

integral inequalitieslocal dissipationpolynomial decay of the energydegenerate dissipation

Mathematics Subject Classification ID

Related Items (11)

Stabilization of the elastodynamic equations with a degenerate locally distributed dissipation ⋮ Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation ⋮ Well-posedness and stability of a hinged plate equation with a localized nonlinear structural damping ⋮ A Carleman estimates based approach for the stabilization of some locally damped semilinear hyperbolic equations ⋮ A constructive method for the stabilization of the wave equation with localized Kelvin-Voigt damping ⋮ Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback ⋮ Exponential stabilization of magnetoelastic waves in a Mindlin-Timoshenko plate by localized internal damping ⋮ Stabilization of a locally damped incompressible wave equation ⋮ A direct method for the stabilization of some locally damped semilinear wave equations ⋮ Stabilization of some elastodynamic systems with localized Kelvin-Voigt damping ⋮ Stabilization of the wave equation with a localized nonlinear strong damping

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Decay of solutions of the wave equation with a local degenerate dissipation
• Exponential Decay of Energy of Evolution Equations with Locally Distributed Damping
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Estimations d'énergie pour l'équation des ondes avec un amortissement non linéaire localisé

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