Geodesic
Limiting absorption principles for the Navier equation in elasticity
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 817-842 Cet article a éte moissonné depuis la source Numdam

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We prove some a priori estimates for the resolvent of Navier equation in elasticity, when one approaches the spectrum (Limiting Absorption Principles). They are extensions of analogous estimates for the resolvent of the euclidean Laplacian in ℝ n . As a consequence, we get some results for the evolution equation and for the spectral measure.

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Classification : 35J47, 74B05, 42B37 
@article{ASNSP_2012_5_11_4_817_0,
     author = {Barcel\'o, Juan Antonio and Folch-Gabayet, Magali and P\'erez-Esteva, Salvador and Ruiz, Alberto and Vilela, Mari Cruz},
     title = {Limiting absorption principles for the {Navier} equation in elasticity},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {817--842},
     year = {2012},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 11},
     number = {4},
     mrnumber = {3060701},
     zbl = {1335.74009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_817_0/}
}
TY  - JOUR
AU  - Barceló, Juan Antonio
AU  - Folch-Gabayet, Magali
AU  - Pérez-Esteva, Salvador
AU  - Ruiz, Alberto
AU  - Vilela, Mari Cruz
TI  - Limiting absorption principles for the Navier equation in elasticity
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 2012
SP  - 817
EP  - 842
VL  - 11
IS  - 4
PB  - Scuola Normale Superiore, Pisa
UR  - http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_817_0/
LA  - en
ID  - ASNSP_2012_5_11_4_817_0
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%A Folch-Gabayet, Magali
%A Pérez-Esteva, Salvador
%A Ruiz, Alberto
%A Vilela, Mari Cruz
%T Limiting absorption principles for the Navier equation in elasticity
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 2012
%P 817-842
%V 11
%N 4
%I Scuola Normale Superiore, Pisa
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%G en
%F ASNSP_2012_5_11_4_817_0
Barceló, Juan Antonio; Folch-Gabayet, Magali; Pérez-Esteva, Salvador; Ruiz, Alberto; Vilela, Mari Cruz. Limiting absorption principles for the Navier equation in elasticity. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 11 (2012) no. 4, pp. 817-842. http://geodesic.mathdoc.fr/item/ASNSP_2012_5_11_4_817_0/