Exact controllability for a one-dimensional wave equation with the fixed endpoint control

DOI10.1186/S13661-015-0476-4zbMath1338.35280OpenAlexW2175006137WikidataQ59436370 ScholiaQ59436370MaRDI QIDQ284243

Lizhi Cui, Yang Jiang, Yu Wang

Publication date: 17 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0476-4

zbMATH Keywords

Hilbert uniqueness methodnon-cylindrical domainstring with a fixed endpoint

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Strings (74K05) Moving boundary problems for PDEs (35R37)

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Boundary controllability and boundary time-varying feedback stabilization of the 1D wave equation in non-cylindrical domains ⋮ The wave equation with internal control in non-cylindrical domains ⋮ Observability of the 1-D wave equation with mixed boundary conditions in a non-cylindrical domain ⋮ Interior control of waves on time dependent domains ⋮ Unnamed Item ⋮ Observability and controllability of the 1-D wave equation in domains with moving boundary ⋮ Carleman estimate for ultrahyperbolic operators and improved interior control for wave equations ⋮ Exact controllability for a one-dimensional degenerate wave equation in domains with moving boundary ⋮ The solvability and controllability of semilinear coupled wave equation ⋮ Exact controllability of wave equations with locally distributed control in non-cylindrical domain ⋮ Approximate controllability for a one-dimensional wave equation with the fixed endpoint control ⋮ On controllability of waves and geometric Carleman estimates ⋮ Controllability for a one-dimensional wave equation in a non-cylindrical domain ⋮ Exact controllability of the interconnected Schrödinger and wave equations with a boundary control at the wave equation ⋮ The wave equation with locally distributed control in non-cylindrical domain ⋮ Exact controllability of degenerate wave equations with locally distributed control in moving boundary domain

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• Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
• On hyperbolic–parabolic equations with nonlinearity of Kirchhoff–Carrier type in domains with moving boundary

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