Existence and boundary stabilization of solutions for the coupled semilinear system

DOI10.1016/j.na.2008.09.016zbMath1172.35360OpenAlexW2063744690MaRDI QIDQ1015130

Alexandro O. Marinho, Haroldo R. Clark, Marcondes Rodrigues Clark

Publication date: 7 May 2009

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.2008.09.016

zbMATH Keywords

exponential stabilitystrong and weak solutionshomogeneous feedback boundary conditions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Linear higher-order PDEs (35G05) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (3)

A nonlinear thermoelastic system with nonlinear boundary conditions ⋮ Boundary stabilization for a coupled system ⋮ On a nonlinear thermoelastic system with nonlocal coefficients

Cites Work

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• Existence and boundary stabilization of the semilinear wave equation
• Decay estimates for some semilinear damped hyperbolic problems
• Exponential energy decay in a linear thermoelastic rod
• 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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