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quasilinear hyperbolic system.

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Exact boundary observability for quasilinear hyperbolicsystems
Tatsien Li, Daqian Li
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 14 / Issue 4 / October 2008

Published online by Cambridge University Press:

30 January 2008, pp. 759-766

Print publication:

October 2008
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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.