By means of a direct and constructive method based on the theory of semi-global 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.
Classification : 35B37, 93C20, 35L50, 93B07, 35R30
Mots clés : exact boundary observability, exact boundary controllability, semi-global solution, mixed initial-boundary value problem, quasilinear hyperbolic system
@article{COCV_2008__14_4_759_0,
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},
zbl = {1155.93015},
mrnumber = {2451794},
language = {en},
url = {http://www.numdam.org/articles/10.1051/cocv:2008007/}
}
TY - JOUR AU - Tatsien Li Daqian Li TI - Exact boundary observability for quasilinear hyperbolic systems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2008 DA - 2008/// SP - 759 EP - 766 VL - 14 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv:2008007/ UR - https://zbmath.org/?q=an%3A1155.93015 UR - https://www.ams.org/mathscinet-getitem?mr=2451794 UR - https://doi.org/10.1051/cocv:2008007 DO - 10.1051/cocv:2008007 LA - en ID - COCV_2008__14_4_759_0 ER -
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. http://www.numdam.org/articles/10.1051/cocv:2008007/
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