Controllability of the linear system of thermoelastic plates

Advances in Differential Equations

Volumn 1, Issue 3, 1996, Pages 369-402

  de Teresa, Luz ^a   Zuazua, Enrique ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000259163     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. S. Agmon, Unicitè et convexitè dans les problèmes diffèrentiels, Presse Universitaire de Montrèal, 1966.
2. C. Bardos, G. Lebeau, and J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary, SIAM J. Control Optim. 30 (1992), 1024-1065.
3. T. Cazenave, A. Haraux, Introduction aux problèmes d'èvolution sèmi-linèaires, Collection S. M. A. I. Mathèmatiques et applications. Ellipses, Paris, 1990.
4. R. Dautray and J.L. Lions, Analyse mathèmatique et calcul numèrique pour les sciences et les techniques, vol. 8: Evolution: semi-groupe, variationnel, Masson, Paris, 1988.
5. C. Fabre, J.P. Puel, and E. Zuazua, Contrôlabilitè approchè de l' èquation de la chaleur sèmilin èaire, C. R. Acad. Sci. Paris, t. 315, Sèrie 1 (1992), 807-812.
6. C. Fabre, Approximate controllability of the semilinear heat equation, Proc. Roy. Soc. Edinburgh, 125A (1995), 31-61.
7. A. Haraux, On a completion problem in the theory of distributed control of the wave equation, in Nonlinear Partial differential equations and its applications. Collège de France Seminar, vol. X, 1991; Pitman Research Notes in Math., 220, 241-271.
8. D. Henry, O. Lopes, and A. Perissinotto, On the essential spectrum of a semigroup of thermoelasticity, preprint.
9. F. John, Partial Differential Equations, Springer-Verlag, New York, 1971.
10. E. Lagnese, The reachability Problem of Thermoelastic Plates, Arch. Rat. Mech. Analysis 112 (1990),223-267.
11. J. Lagnese and J.L. Lions, Modelling, analysis and control of thin plates, Masson, RMA 6, Paris, 1988.
12. J.L. Lions, Contrôlabilitè exacte, stabilization et perturbations de systèmes distribuès. Tome 1. Contrôlabilitè, Masson, RMA 8, Paris, 1988.
13. J.L. Lions, Contrôlabilitè exacte, stabilization et perturbations de systèmes distribuès. Tome 2. Perturbations, Masson, RMA 9, Paris, 1988.
14. J.L. Lions, Optimal control of systems governed by partial differential equations, Springer-Verlag, 1971.
15. J.L. Lions, Remarks on approximate controllability, J. Analyse. Math. 59 (1992), 103-116.
16. J.L. Lions and E. Magenes, Problèmes aux limites non homogènes et applications, vol. I and II, Dunod, Paris, 1968.
17. J.L. Lions and B. Malgrange, Sur l'unicitè rètrograde dans les problèmes mixtes paraboliques, Math. Scan. 8 (1960),277-286.
18. A. Pazy, Semigroups of linear operators and applications to partial differencial equations, Springer- Verlag, New York, 1983.
19. A. Rodrìguez-Bernal, On the generation of analytic semigroups by a class of damped wave equations, J. Diff. Equations (to appear).
20. J.C. Saut and B. Scheurer, Unique continuation for some evolution equations, J. Diff. Equations 66(1) (1987),118-139.
21. J. Simon, Compact sets in the space Lp(0, T;B), Annali di Matematica Pura ed Applicata, (IV), Vol. CXLVI (1987), 65-96.
22. E. Zuazua, Controllability of the linear system of thermoelasticity, J. Mathèmatiques Pures et Appl. 74 (1995), 303-346.
23. E. Zuazua, Contrôlabilitè du système de la thermoèlasticitè, C. R. Acad. Sci. Paris, t. 317, Sèrie I (1993), 371-376.