One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates

DOI10.1051/cocv/2021067zbMath1473.35354arXiv2002.06186OpenAlexW3173433084MaRDI QIDQ3383294

Swann Marx, Guilherme Mazanti, Yacine Chitour

Publication date: 23 September 2021

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

Full work available at URL: https://arxiv.org/abs/2002.06186

zbMATH Keywords

stabilityasymptotic behaviorwell-posednesssaturationset-valued boundary condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with multivalued right-hand sides (35R70) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Wave equation (35L05) Applications of difference equations (39A60)

Related Items (7)

A class of incrementally scattering-passive nonlinear systems ⋮ Second Order Systems on Hilbert Spaces with Nonlinear Damping ⋮ Observability and observer design for a class of hyperbolic PDEs with van de Pol type boundary conditions ⋮ ISS-based robustness to various neglected damping mechanisms for the 1-D wave PDE ⋮ Stabilization of the wave equation through nonlinear Dirichlet actuation ⋮ Observability and Observers for a Class of Two-Dimensional Hyperbolic PDE Chaotic Systems ⋮ Decay rates of energy of the 1D damped original nonlinear wave equation

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