Semi-global C-1 solution and exact boundary controllability for quasilinear hyperbolic systems

Authors
Li, TT Rao, BP Jin, Y
Citation
Tt. Li et al., Semi-global C-1 solution and exact boundary controllability for quasilinear hyperbolic systems, CR AC S I, 333(3), 2001, pp. 219-224
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
333
Issue
3
Year of publication
2001
Pages
219 - 224
Database
ISI
SICI code
0764-4442(20010801)333:3<219:SCSAEB>2.0.ZU;2-H
Abstract
In this Note, we first get the existence and uniqueness of semi-global C-1 solution to the mixed initial-boundary value problem for quasilinear hyperb olic systems with general nonlinear boundary conditions, and then we establ ish the corresponding exact boundary controllability, provided that the C-1 norm of the initial and final states is small enough. (C) 2001 Academie de s sciences/Editions scientifiques et medicales Elsevier SAS.