Lp-asymptotic stability of 1D damped wave equations with localized and linear damping

DOI10.1051/cocv/2021107zbMath1482.93492arXiv2104.05679OpenAlexW3155271492WikidataQ114011513 ScholiaQ114011513MaRDI QIDQ5024336

Benmiloud Mebkhout, Meryem Kafnemer, Yacine Chitour, Frédéric Jean

Publication date: 31 January 2022

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05679

zbMATH Keywords

dampinglinearlocalized\(L^{p}\) asymptotic stability1D wave

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic stability in control theory (93D20) Wave equation (35L05) Exponential stability (93D23)

Cites Work

• \(L^p\)-asymptotic stability analysis of a 1D wave equation with a nonlinear damping
• \(L^p\) estimates for the waves equation
• A new method to obtain decay rate estimates for dissipative systems with localized damping
• Decay of approximate solutions for the damped semilinear wave equation on a bounded 1d domain
• \(L^{p}\) estimates of solutions to some non-linear wave equations in one space dimension
• Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Locally Distributed Control and Damping for the Conservative Systems
• Weak Input to State Estimates for 2D Damped Wave Equations with Localized and Nonlinear Damping
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