Exact boundary observability for quasilinear hyperbolic systems
School of Mathematical
Sciences, Fudan University, Shanghai 200433, China;
Revised: 2 April 2007
By means of a direct and constructive method based on the theory of semi-global C1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.
Mathematics Subject Classification: 35B37 / 93C20 / 35L50 / 93B07 / 35R30
Key words: Exact boundary observability / exact boundary controllability / semi-global C1 solution / mixed initial-boundary value problem / quasilinear hyperbolic system.
© EDP Sciences, SMAI, 2008