Mesures de défaut de compacité, application au système de Lamé
Burq, Nicolas ; Lebeau, Gilles
Annales scientifiques de l'École Normale Supérieure, Tome 34 (2001), p. 817-870 / Harvested from Numdam
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@article{ASENS_2001_4_34_6_817_0,
     author = {Burq, Nicolas and Lebeau, Gilles},
     title = {Mesures de d\'efaut de compacit\'e, application au syst\`eme de Lam\'e},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {34},
     year = {2001},
     pages = {817-870},
     doi = {10.1016/s0012-9593(01)01078-3},
     mrnumber = {1872422},
     zbl = {1043.35009},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/ASENS_2001_4_34_6_817_0}
}

Burq, Nicolas; Lebeau, Gilles. Mesures de défaut de compacité, application au système de Lamé. Annales scientifiques de l'École Normale Supérieure, Tome 34 (2001) pp. 817-870. doi : 10.1016/s0012-9593(01)01078-3. http://gdmltest.u-ga.fr/item/ASENS_2001_4_34_6_817_0/

[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. | MR 1178650 | Zbl 0786.93009

[2] Chazarain J, Piriou A, Introduction à la théorie des équations aux dérivées partielles linéaires, Gauthier-Villars, 1970. | MR 598467 | Zbl 0446.35001

[3] Denker N, On the propagation of the polarization set for systems of real principal type, J. Functional Anal. 46 (1982) 351-373. | MR 661876 | Zbl 0487.58028

[4] Gérard C, Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques, Comm. Partial Differential Equations 10 (1985) 1347-1382. | MR 812335 | Zbl 0593.58037

[5] Gérard P, Microlocal defect measures, Comm. Partial Differential Equations 16 (1991) 1761-1794. | MR 1135919 | Zbl 0770.35001

[6] Gérard P, Leichtnam E, Ergodic properties of eigenfunctions for the Dirichlet problem, Duke Math. J. 71 (1993) 559-607. | MR 1233448 | Zbl 0788.35103

[7] Hörmander L, The Analysis of Linear Partial Differential Operators I, Grundlehren der mathematischen Wissenschaften, 256, Springer Verlag, 1983. | MR 717035 | Zbl 0521.35001

[8] Hörmander L, The Analysis of Linear Partial Differential Operators III, Grundlehren der mathematischen Wissenschaften, 274, Springer Verlag, 1985. | MR 781536 | Zbl 0601.35001

[9] Koch H, Tataru D, On the spectrum of hyperbolic semigroups, Comm. Partial Differential Equations 20 (5-6) (1995) 901-937. | MR 1326911 | Zbl 0823.35108

[10] Lebeau G, Équation des ondes amorties, in: Boutet De Monvel A, Marchenko V (Eds.), Algebraic and Geometric Methods in Mathematical Physics, Kluwer Academic, Dordrecht, 1996, pp. 73-109. | MR 1385677 | Zbl 0863.58068

[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. | MR 1716306

[12] Miller L, Propagation d'ondes semi-classiques à travers une interface et mesures 2-microlocales, PhD thesis, École Polytechnique, 1996.

[13] Melrose R.B, Sjöstrand J, Singularities of boundary value problems I, Comm. Pure Appl. Math. 31 (1978) 593-617. | MR 492794 | Zbl 0368.35020

[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. | MR 492794 | Zbl 0368.35020

[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. | MR 1069518 | Zbl 0774.35008