Existence and boundary stabilization of the semilinear wave equation

DOI10.1016/j.na.2006.07.015zbMath1151.35050OpenAlexW2030605126MaRDI QIDQ884513

A. B. Maciel, Fágner Dias Araruna

Publication date: 6 June 2007

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.2006.07.015

zbMATH Keywords

wave equationboundary stabilitycontinuous nonlinearityDirichlet-Neumann's problem

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Boundary value problems for nonlinear higher-order PDEs (35G30) Wave equation (35L05)

Related Items (9)

Exponential boundary stabilization for nonlinear wave equations with localized damping and nonlinear boundary condition ⋮ On a nonlinear degenerate evolution equation with nonlinear boundary damping ⋮ A nonlinear thermoelastic system with nonlinear boundary conditions ⋮ Boundary stabilization for a coupled system ⋮ Asymptotic stability of the semilinear wave equation with boundary damping and source term ⋮ On a nonlinear wave equation with boundary damping ⋮ Existence and boundary stabilization of solutions for the coupled semilinear system ⋮ Existence and asymptotic stability for the semilinear wave equation with boundary damping and source term ⋮ Nonlinear boundary stabilization for Timoshenko beam system

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• A Note on the Boundary Stabilization of the Wave Equation
• Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
• Control and Stabilization for the Wave Equation in a Bounded Domain
• Hidden regularity for semilinear hyperbolic partial differential equations

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