Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 1, pp. 53-89.
@article{AFST_1999_6_8_1_53_0,
     author = {Marcelo Moreira Cavalcanti},
     title = {Exact controllability of the wave equation with {Neumann} boundary condition and time-dependent coefficients},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {53--89},
     publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
     address = {Toulouse},
     volume = {Ser. 6, 8},
     number = {1},
     year = {1999},
     zbl = {1002.93023},
     mrnumber = {1721574},
     language = {en},
     url = {https://afst.centre-mersenne.org/item/AFST_1999_6_8_1_53_0/}
}
TY  - JOUR
AU  - Marcelo Moreira Cavalcanti
TI  - Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
JO  - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY  - 1999
SP  - 53
EP  - 89
VL  - 8
IS  - 1
PB  - Université Paul Sabatier. Faculté des sciences
PP  - Toulouse
UR  - https://afst.centre-mersenne.org/item/AFST_1999_6_8_1_53_0/
LA  - en
ID  - AFST_1999_6_8_1_53_0
ER  - 
%0 Journal Article
%A Marcelo Moreira Cavalcanti
%T Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients
%J Annales de la Faculté des sciences de Toulouse : Mathématiques
%D 1999
%P 53-89
%V 8
%N 1
%I Université Paul Sabatier. Faculté des sciences
%C Toulouse
%U https://afst.centre-mersenne.org/item/AFST_1999_6_8_1_53_0/
%G en
%F AFST_1999_6_8_1_53_0
Marcelo Moreira Cavalcanti. Exact controllability of the wave equation with Neumann boundary condition and time-dependent coefficients. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 1, pp. 53-89. https://afst.centre-mersenne.org/item/AFST_1999_6_8_1_53_0/

[1] Bardos (C.) and Cheng (C.) . - Control and stabilization for the wave equation, part III: domain with moving boundary, SIAM J. Control and Optimization 19 (1981), pp. 123-138. | MR | Zbl

[2] Bardos (C.), Lebeau (G.) and Rauch (J.) .- Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control and Optimization 30, n° 5 (1992), pp. 1024-1065. | MR | Zbl

[3] Cioranescu (D.), Donato (P.) and Zuazua (E.) .- Exact boundary controllability for the wave equation in domains with small holes, J. Math. Pures Appl. 71 (1992), pp. 343-357. | MR | Zbl

[4] Coron (J.-M.) .- Contrôlabilité exacte frontière de l'équation d'Euler des fluides parfais incompressibles bidimensionnels, C.R.A.S. Paris, Série I, 317 (1993), pp. 271-276. | MR | Zbl

[5] Fuentes Apolaya (R.) .- Exact Controllability for temporally wave equation, Portugaliae Math. 51, n° 4 (1994), pp. 475-488. | MR | Zbl

[6] Lagnese (J.) . - Control of wave processes with distributed controls supported on a subregion, SIAM J. Control and Optimization 21 (1983), pp. 68-85. | MR | Zbl

[7] Lagnese (J.) .- Boundary patch control of the wave equation in some non-star complemented regions, J. Math. Anal. 77 (1980), pp. 364-380. | MR | Zbl

[8] Lagnese (J.) .- Boundary value control of a class of hyperbolic equations in a general region, SIAM J. Control and Optimization 15, n° 6 (1977), pp. 973-983. | MR | Zbl

[9] Lagnese (J.) and Lions (J.-P.) .- Modelling, Analysis and Exact Controllability of Thin Plates, R.M.A. Collection 6, Masson, Paris (1988). | MR | Zbl

[10] Lasiecka (I.) and Triggiani (R.) . - Exact controllabily for the wave equation with Neumann boundary control, Appl. Math. Optim. 19 (1989), pp. 243-290. | MR | Zbl

[11] Komornik (V.) .- Exact controllability in short time for wave equation, Ann. Inst. Henri-Poincaré 6 (1989), pp. 153-164. | Numdam | MR | Zbl

[12] Lions (J.-P.) . - Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Tome 1, Masson, Paris (1988). | MR | Zbl

[13] Lions (J.-P.) and Magenes (E.) .- Problèmes aux limites non homogènes, Applications, Vol. 1, Dunod, Paris (1968). | MR | Zbl

[14] Medeiros (L.A.) . - Exact control for a Timoshenko model of vibrations beams, Adv. Math. Sci. Appl. 2 (1993), pp. 47-61. | MR | Zbl

[15] Milla Miranda (M.) .- Contrôlabilité exacte de l'équation des ondes dans des domaines non cylindriques, C.R.A.S. Paris 317 (1993), pp. 495-499. | MR | Zbl

[16] Milla Miranda (M.) and Medeiros (L.A.) .- Exact controllability for the Schroedinger equation in non cylindrical domain, C.R.A.S. Paris 319 (1994), pp. 685-689. | MR | Zbl

[17] Soriano (J.A.) .- Controlabilidad exacta de la equación del telégrafo generalizada, Rev. Mat. Univ. Complutense de Madrid 8 (1995), pp. 495-493. | Zbl

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