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Semi-global C1 solution and exact boundary controllability for 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 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.

Keywords

reducible quasilinear hyperbolic systemsemi-global C1 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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