Geodesic
Exact boundary observability for quasilinear hyperbolic systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 759-766

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By means of a direct and constructive method based on the theory of semi-global C 1 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.

DOI : 10.1051/cocv:2008007
Classification : 35B37, 93C20, 35L50, 93B07, 35R30
Keywords: exact boundary observability, exact boundary controllability, semi-global $C^1$ solution, mixed initial-boundary value problem, quasilinear hyperbolic system 
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     author = {Tatsien Li Daqian Li},
     title = {Exact boundary observability for quasilinear hyperbolic systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {759--766},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {4},
     year = {2008},
     doi = {10.1051/cocv:2008007},
     mrnumber = {2451794},
     zbl = {1155.93015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008007/}
}
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Tatsien Li Daqian Li. Exact boundary observability for quasilinear hyperbolic systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 759-766. doi: 10.1051/cocv:2008007

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