Mesures de défaut de compacité, application au système de Lamé

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 34, Issue 6, 2001, Pages 817-870

  Burq, Nicolas ^a   Lebeau, Gilles ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b CENTRE DE MATHÉMATIQUES LAURENT SCHWARTZ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012264883     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(01)01078-3     Document Type: Article

References (15)

1. Bardos C., Lebeau G., Rauch J. Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary. SIAM J. Control Optim. 305:1992;1024-1065.
2. Chazarain J., Piriou A. Introduction à la théorie des équations aux dérivées partielles linéaires. 1970;Gauthier-Villars.
3. Denker N. On the propagation of the polarization set for systems of real principal type. J. Functional Anal. 46:1982;351-373.
4. Gérard C. Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. Comm. Partial Differential Equations. 10:1985;1347-1382.
5. Gérard P. Microlocal defect measures. Comm. Partial Differential Equations. 16:1991;1761-1794.
6. Gérard P., Leichtnam E. Ergodic properties of eigenfunctions for the Dirichlet problem. Duke Math. J. 71:1993;559-607.
7. Hörmander L. The Analysis of Linear Partial Differential Operators I. Grundlehren der mathematischen Wissenschaften. 256:1983;Springer Verlag.
8. Hörmander L. The Analysis of Linear Partial Differential Operators III. Grundlehren der mathematischen Wissenschaften. 274:1985;Springer Verlag.
9. Koch H., Tataru D. On the spectrum of hyperbolic semigroups. Comm. Partial Differential Equations. 20:(5-6):1995;901-937.
10. Lebeau G. Équation des ondes amorties. Boutet de Monvel A., Marchenko V. Algebraic and Geometric Methods in Mathematical Physics. 1996;73-109 Kluwer Academic, Dordrecht.
11. Lebeau G., Zuazua E. Decay rates for the three-dimensional linear system of thermoelasticity. Prépublications du Centre de Mathématiques de l'École Polytechnique, 98-3. 1998.
12. Miller L. Propagation d'ondes semi-classiques à travers une interface et mesures 2-microlocales. 1996;PhD thesis, École Polytechnique.
13. Melrose R.B., Sjöstrand J. Singularities of boundary value problems I. Comm. Pure Appl. Math. 31:1978;593-617.
14. Melrose R.B., Sjöstrand J. Singularities of boundary value problems I & II. Comm. Pure Appl. Math. 31:1978;593-617. 35 (1982) 129-168.
15. Tartar L. H-measures, a new approach for studying homogenization, oscillations and concentration effects in partial differential equations. Proc. Royal Soc. Edinburgh. 115-A:1990;193-230.