Observability of the 1-D wave equation with mixed boundary conditions in a non-cylindrical domain

DOI10.1007/s00009-018-1107-yzbMath1395.35135OpenAlexW2794328537MaRDI QIDQ1635761

Abdelmouhcene Sengouga

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1107-y

zbMATH Keywords

generalized Fourier series

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Wave equation (35L05)

Related Items (5)

Observability and stabilization of \(1-D\) wave equations with moving boundary feedback ⋮ Observability of the 1-D wave equation with mixed boundary conditions in a non-cylindrical domain ⋮ Boundary stabilization of a vibrating string with variable length ⋮ Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints ⋮ Controllability for a one-dimensional wave equation in a non-cylindrical domain

Cites Work

• Exact controllability for a one-dimensional wave equation with the fixed endpoint control
• Observability of the 1-D wave equation with mixed boundary conditions in a non-cylindrical domain
• Exact controllability for a one-dimensional wave equation in non-cylindrical domains
• On the solution of the wave equation with moving boundaries
• Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Fourier Series in Control Theory
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