Exact boundary controllability for the spatial vibration of string with dynamical boundary conditions

DOI10.1007/s11401-020-0201-1zbMath1441.35153OpenAlexW3025531929MaRDI QIDQ2181698

Yue Wang, Ta-Tsien Li, Günter R. Leugering

Publication date: 19 May 2020

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-020-0201-1

zbMATH Keywords

spatial vibration of a string

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Strings (74K05) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

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• Local exact boundary controllability for a class of quasilinear hyperbolic systems.
• Global propagation of regular nonlinear hyperbolic waves
• On a nonlinear wave equation and the control of an elastic string from one equilibrium location to another
• Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions
• The Generalized Riemann Problem for the Motion of Elastic Strings
• Exact Boundary Controllability for Quasi-Linear Hyperbolic Systems
• Exact boundary controllability for 1‐D quasilinear wave equations with dynamical boundary conditions

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