Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints

DOI10.3934/eect.2020014zbMath1439.35315arXiv1803.08254OpenAlexW2792422545MaRDI QIDQ2303844

Abdelmouhcene Sengouga

Publication date: 6 March 2020

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08254

zbMATH Keywords

Hilbert uniqueness methodnoncylindrical domainsgeneralised Fourier series

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Observability (93B07) Wave equation (35L05) Series solutions to PDEs (35C10)

Related Items (6)

Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains ⋮ Exact observability conditions for Hilbert space dynamical systems connected with Riesz basis of divided differences ⋮ Exact controllability for a degenerate and singular wave equation with moving boundary ⋮ Boundary Controllability for a Degenerate Wave Equation in Nondivergence Form with Drift ⋮ Free vibrations of axially moving strings: Energy estimates and boundary observability ⋮ Unnamed Item

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