@article{AIHPA_1997__67_1_41_0, author = {Vodev, G.}, title = {Existence of {Rayleigh} resonances exponentially close to the real axis}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {41--57}, publisher = {Gauthier-Villars}, volume = {67}, number = {1}, year = {1997}, mrnumber = {1463004}, zbl = {0893.35088}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1997__67_1_41_0/} }
TY - JOUR AU - Vodev, G. TI - Existence of Rayleigh resonances exponentially close to the real axis JO - Annales de l'I.H.P. Physique théorique PY - 1997 SP - 41 EP - 57 VL - 67 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPA_1997__67_1_41_0/ LA - en ID - AIHPA_1997__67_1_41_0 ER -
Vodev, G. Existence of Rayleigh resonances exponentially close to the real axis. Annales de l'I.H.P. Physique théorique, Volume 67 (1997) no. 1, pp. 41-57. http://archive.numdam.org/item/AIHPA_1997__67_1_41_0/
[1] On the local-energy decay property for the elastic wave equation with the Neumann boundary conditions, Duke Math. J., Vol. 67, 1992, pp. 333-351. | MR | Zbl
,[2] On a region free from the poles of the resolvent and decay rate of the local energy for the elastic wave equation, Indiana Univ. Math. J., Vol. 43, 1994, pp. 1013-1043. | MR | Zbl
,[3] Singularités analytiques microlocales, Astérisque, Vol. 95, 1982. | Numdam | MR | Zbl
,[4] Asymptotics of the number of Rayleigh resonances, Math. Ann., to appear. | MR | Zbl
and ,[5] Distribution of resonances for the Neumann problem in linear elasticity outside a ball, Ann. Inst. H.Poincaré (Physique Théorique), Vol. 60, 1994, pp. 303-321. | EuDML | Numdam | MR | Zbl
and ,[6] Distribution of resonances for the Neumann problem in linear elasticity outside a strictly convex body, Duke Math. J., Vol. 78, 1995, pp. 677-714. | MR | Zbl
and ,[7] Neumann resonances in linear elasticity for an arbitrary body, Commun. Math. Phys., Vol. 176, 1996, pp. 645-659. | MR | Zbl
and ,[8] Rayleigh waves in linear elasticity as a propagation of singularities phenomenon, in Proc. Conf. on P.D.E. and Geometry, Marcel Dekker, New York, 1979, pp. 273-291. | MR | Zbl
,[9] Sharp bounds on the number of scattering poles for perturbations of the Laplacian, Commun. Math. Phys., Vol. 146, 1992, pp. 205-216. | MR | Zbl
,[10] Some remarks on the local energy decay of solutions of the initial-boundary value problem for the wave equation in unbounded domains, J. Diff. Equations, Vol. 23, 1977, pp. 459-471. | MR | Zbl
,[11] Singularities of solutions to the boundary value problems for elastic and Maxwell's equations, Japan J. Math., Vol. 14, 1988, pp. 119-163. | MR | Zbl
,