Control for hyperbolic equations
Journées équations aux dérivées partielles (1992), article no. 21, 24 p.
Gilles Lebeau. Control for hyperbolic equations. Journées équations aux dérivées partielles (1992), article  no. 21, 24 p.. doi: 10.5802/jedp.439
@incollection{JEDP_1992____A21_0,
     author = {Gilles Lebeau},
     title = {Control for hyperbolic equations},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {21},
     pages = {1--24},
     year = {1992},
     publisher = {\'Ecole polytechnique},
     doi = {10.5802/jedp.439},
     zbl = {0779.35005},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.439/}
}
TY  - JOUR
AU  - Gilles Lebeau
TI  - Control for hyperbolic equations
JO  - Journées équations aux dérivées partielles
PY  - 1992
SP  - 1
EP  - 24
PB  - École polytechnique
UR  - https://proceedings.centre-mersenne.org/articles/10.5802/jedp.439/
DO  - 10.5802/jedp.439
LA  - en
ID  - JEDP_1992____A21_0
ER  - 
%0 Journal Article
%A Gilles Lebeau
%T Control for hyperbolic equations
%J Journées équations aux dérivées partielles
%] 21
%D 1992
%P 1-24
%I École polytechnique
%U https://proceedings.centre-mersenne.org/articles/10.5802/jedp.439/
%R 10.5802/jedp.439
%G en
%F JEDP_1992____A21_0

[1] C. Bardos, G. Lebeau, J. Rauch : Sharp sufficient conditions for the observation. Control and stabilization of waves from the boundary, To be published in SIAM. | Zbl

[2] N. Burq : Contrôle de l'équation de Schrödinger en présence d'obstacles strictement convexes, Colloque E.D.P. Saint Jean-de-Monts, 1991. | Numdam | Zbl

[3] R. Glowinski, W. Kinton, M.F. Wheeler : A mixed finite element formula for the boundary controlability of the wave equation, International Journal for Numerical Methods in Engineering, Vol. 27, 623-635, 19(?). | MR | Zbl

[4] T. Hargé : Thèse, Orsay, France, 1991.

[5] A. Haraux : Séries Lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire, Journal Math. Pures et Appliquées. | Zbl

[6] L. Hörmander : The analysis of linear partial differential operators, Vol. III, Springer Verlag. | Zbl

[7] S. Jaffard : Controle interne exact des vibrations d'une plaque carrée, Prépublication. | Zbl

[8] J. Lagnese : Boundary stabilization of thin elastic plates, Proceedings of the 26th Conference on decision and control Los Angeles, CA, December 1987.

[9] I. Lasiecka : Exact controlability of a plate equation with one control acting as a lending moment, Marcel Dekker. Proceeding of the Conference on Diff. Equations, Colorado Springs, 1989. | Zbl

[10] I. Lasiecka, R. Triggiani : Exact controlability of the Euler-Bernoulli equation with controls in the Dirichlet and Neumann boundary conditions : a non conservative case, SIAM Journal of Control and Optimization, Vol. 27, n° 2, 330-374, 1989. | MR | Zbl

[11] I. Lasiecka, R. Triggiani : Exact controlability of the Euler-Bernoulli equation with boundary controls for displacement and moments, Journal Math. Analysis and Appl. | Zbl

[12] I. Lasiecka, R. Triggiani : Uniform decay rates for the Euler Bernoulli equation with feedback only in the bending moment, CDC Conference Austin Texas, December 1988, pp. 1260-1262.

[13] I. Lasiecka, R. Triggiani : Trau regularity of the solutions of the wave equation with homogeneous Neumann boundary condition, J. Math. Analysis and Appl.

[14] I. Lasiecka, R. Triggiani : Exact controlability of the wave equation with Neumann boundary control, Appl. Math. Optim, 1988.

[15] G. Lebeau : Contrôle et stabilisation hyperboliques, Séminaire E.D.P. Ecole Polytechnique, 1989-1990, Exposé n° 16. | Numdam | Zbl

[16] G. Lebeau : Contrôle de l'équation de Schrödinger, à paraître à Journal Math Pures Appl. | Zbl

[17] G. Lebeau : Contrôle analytique I : Estimations a priori, Prépublication Université Paris-Sud. | Zbl

[18] J-L. Lions : Contrôlabilité exacte, perturbations et stabilisation des systèmes distribués, Masson Collection RMA, Paris 1988. | Zbl

[19] R. Melrose, J. Sjöstrand : Singularities of boundary value problems I, II, CPAM 31 (1978), CPAM 35 (1982). | Zbl

[20] D-L. Russel : Controlability and stabilization theory for linear partial differential equations. Recent progress and open questions, SIAM Rev. 20, 1978. | Zbl

[21] E. Zuazua : Contrôlabilité exacte d'un modèle de plaques vibrantes en un temps arbitrairement petit, CRAS Paris, t. 804, Série I, n° 7, 1987, p. 173-176. | MR | Zbl

Cité par Sources :