Semi-global C1 solution and exact boundary controllability for reducible quasilinear hyperbolic systems
Department of Mathematics, Fudan University, Shanghai 20043,
2 Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg, France.
Revised: 22 November 1999
By means of a result on the semi-global C1 solution, we establish the exact boundary controllability for the reducible quasilinear hyperbolic system if the C1 norm of initial data and final state is small enough.
Mathematics Subject Classification: 35L50 / 49J20 / 49N50
Key words: reducible quasilinear hyperbolic system / semi-global C1 solution / exact boundary controllability.
© EDP Sciences, SMAI, 2000