Local Exact Boundary Controllability for Nonlinear Wave Equations

DOI10.1137/060650222zbMath1147.93012OpenAlexW1981604083MaRDI QIDQ3506536

Zhen Lei, Yi Zhou

Publication date: 16 June 2008

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060650222

zbMATH Keywords

semilinear wave equationstime optimalquasilinear wave equationslocal exact boundary controllability

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Wave equation (35L05)

Related Items (10)

Exact boundary observability for nonautonomous quasilinear wave equations ⋮ Recent progress on controllability/observability for systems governed by partial differential equations ⋮ On the global controllability of the \(1\)-D Boussinesq equation ⋮ Simultaneous exact boundary controllability of final state and nodal profile for quasilinear hyperbolic systems ⋮ Global quantitative stability of wave equations with strong and weak dampings ⋮ Potential well and exact boundary controllability for radial semilinear wave equations on Schwarzschild spacetime ⋮ Controllability for one-dimensional nonlinear wave equations with degenerate damping ⋮ Boundary controllability for the quasilinear wave equation ⋮ Global exact boundary controllability for cubic semi-linear wave equations and Klein-Gordon equations ⋮ Exact boundary controllability for a kind of second-order quasilinear hyperbolic systems and its applications

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