Boundary stabilization for a coupled system

DOI10.1016/J.NA.2011.07.019zbMath1230.35015OpenAlexW2044325352MaRDI QIDQ642564

Alexandro M. Oliveira, Aldo T. Lourêdo, Marcondes Rodrigues Clark

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.019

zbMATH Keywords

Galerkin methodLyapunov functionalnonlinear boundary conditionsexponential decayDirichlet and feedback boundary conditionsmixed type boundary conditionsStrauss approximations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Weak solutions to PDEs (35D30) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (3)

A nonlinear thermoelastic system with nonlinear boundary conditions ⋮ On a nonlinear thermoelastic system with nonlocal coefficients ⋮ On a nonlinear wave equation with boundary damping

Cites Work

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• A direct method for the boundary stabilization of the wave equation
• Every superposition operator mapping one Sobolev space into another is continuous
• Exponential energy decay in a linear thermoelastic rod
• A nonlinear heat equation with singular initial data
• On the Energy Decay of a Linear Thermoelastic Bar and Plate
• Existence and boundary stabilization of solutions for the kirchhoff equation
• On the essential spectrum of a semigroup of thermoelasticity

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