Semi-global C 1 solution and exact boundary controllability for reducible quasilinear hyperbolic systems
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 34 (2000) no. 2, p. 399-408
@article{M2AN_2000__34_2_399_0,
     author = {Li, Ta-Tsien and Rao, Bopeng and Jin, Yi},
     title = {Semi-global $C^1$ solution and exact boundary controllability for reducible quasilinear hyperbolic systems},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {Dunod},
     volume = {34},
     number = {2},
     year = {2000},
     pages = {399-408},
     zbl = {1024.93027},
     mrnumber = {1765666},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2000__34_2_399_0}
}
Li, Ta-Tsien; Rao, Bopeng; Jin, Yi. Semi-global $C^1$ solution and exact boundary controllability for reducible quasilinear hyperbolic systems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 34 (2000) no. 2, pp. 399-408. http://www.numdam.org/item/M2AN_2000__34_2_399_0/

[1] M. Cirià, Boundary controllability of nonlinear hyperbolic Systems. SIAM J. Control 7 (1969) 198-212. | MR 254408 | Zbl 0182.20203

[2] M. Cirinà, Nonlinear hyperbolic problems with solutions on preassigned sets. Michigan Math. J. 17 (1970) 193-209. | MR 271546 | Zbl 0201.42702

[3] I. Lasiecka and R. Triggiani, Exact controllability of semilinear abstract Systems with applications to waves and plates boundary control problems. Appl. Math. Optim. 23 (1991) 109-154. | MR 1086465 | Zbl 0729.93023

[4] Li Ta-Tsien, Global Classical Solutions for Quasilinear Hyperbolic Systems. Research in Applied Mathematics 32, Masson, John Wiley (1994). | MR 1291392 | Zbl 0841.35064

[5] Li Ta-Tsien and Zhang Bing-Yu, Global exact boundary controllability of a class of quasilinear hyperbolic systems. J. Math. Anal. Appl. 225 (1998) 289-311. | MR 1639252 | Zbl 0915.93007

[6] Li Ta-Tsien and Yu Wen-Ci, Boundary Value Problems for Quasilinear Hyperbolic Systems. Duck University, Mathematics Series V (1985). | MR 823237 | Zbl 0627.35001

[7] J.-L. Lions, Contrôlabilité exacte, Perturbations et Stabilisation de Systèmes Distribués, Masson (1988) Vol. I.

[8] K. Komornik, Exact Controllability and Stabilization, The Multiplier Method, Masson, John Wiley (1994). | MR 1359765 | Zbl 0937.93003

[9] D.L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions. SIAM Rev. 20 (1978) 639-739. | MR 508380 | Zbl 0397.93001

[10] E. Zuazua, Exact controllability for the semilinear wave equation. J, Math. Pures Appl. 69 (1990) 1-32. | MR 1054122 | Zbl 0638.49017