Exact boundary controllability for quasilinear wave equations

Progress in Nonlinear Differential Equations and Their Application

Volumn 61, Issue , 2005, Pages 149-160

  Tatsien, Li ^a  

^a FUDAN UNIVERSITY   (China)

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EID: 44649091143     PISSN: 14211750     EISSN: 23740280     Source Type: Book Series    
DOI: 10.1007/3-7643-7317-2_12     Document Type: Chapter

References (13)

1. M. Cirinà, Nonlinear hyperbolic problems with solutions on preassigned sets, Michigan Math. J., 17(1970), 193–209.
2. I. Lasiecka, R. Triggiani, Exact controllability of semilinear abstract systems with applications to waves and plates boundary control problems, Appl. Math. Optim., 23 (1991), 109–154.
3. 1 solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems, Chin. Ann. Math., 22B (2001), 325–336.
4. Li Tatsien, Rao Bopeng, Exact boundary controllability for quasilinear hyperbolic systems, SIAM J. Control Optim., 41(2003), 1748–1755.
5. Li Tatsien, Rao Bopeng, Local exact boundary controllability for a class of quasilinear hyperbolic systems, Chin. Ann. Math., 23B(2002), 209–218.
6. 1 semi-globale et contrôlabilité exacte frontière de systèmes hyperboliques quasilinéaires,, C. R. Acad. Sci. Paris, t. 333, Série I (2001), 219–224.
7. Li Tatsien, Xu Yulan, Local exact boundary controllability for nonlinear vibrating string equations, International Journal of Mordern Physics B, 17 (2003), 4062–4071.
8. Li Tatsien, Yu Wenci, Boundary Value Problems for Quasilinear Hyperbolic Systems, Duck University Mathematics Series V, 1985.
9. J.-L. Lions, Contrôlabilité Exacte, Perturbations et Stabilisation de Systèmes Distribués, Vol. I, Masson, 1988.
10. D.L. Russell, Controllability and stabilizability theory for linear partial differential equations, Recent progress and open questions, SIAM Rev., 20 (1978), 639–739.
11. 1 solutions to the mixed initial-boundary value problem for a general class of quasilinear hyperbolic systems, to appear in Chin. Ann. Math., 25A (2004).
12. E. Zuazua, Exact controllability for the semilinear wave equation, J. Math. Pures et Appl., 69 (1990), 1–31.
13. E. Zuazua, Exact controllability for semilinear wave equations in one sapce dimension, Annales de l’Institut Henri Poincaré, Analyse non linéaire, 10(1993), 109–129.