Stabilization of the wave equation with external force

2011/04/10 by Moez Daoulatli, Daoulatli, Moez
Engineering · Mathematics · Computer Science · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1104.1808

Abstract

We study the rate of decay of the energy functional of solutions of the wave equation with localized damping and a external force. We prove that the decay rates of the energy functional is determined from a forced differential equation.

Citations

• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

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