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Semi-global C 1 solution and exact boundary controllabilityfor reducible quasilinear hyperbolic systems

Published online by Cambridge University Press:  15 April 2002

Ta-Tsien Li ,
Bopeng Rao  and
Yi Jin
Ta-Tsien Li
Affiliation:
Department of Mathematics, Fudan University, Shanghai 20043, P.R. China.
Bopeng Rao
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg, France.
Yi Jin
Affiliation:
Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue René-Descartes, 67084 Strasbourg, France.
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Abstract

By means of a result on the semi-global C 1 solution, we establish the exact boundary controllability for the reducible quasilinearhyperbolic system if the C 1 norm of initial data and final state issmall enough.

Keywords

reducible quasilinear hyperbolic systemsemi-global C 1 solutionexact boundary controllability.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 2: Special issue for R. Teman's 60th birthday , March 2000 , pp. 399 - 408
Copyright
© EDP Sciences, SMAI, 2000

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References

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