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 . As a consequence, we get some results for the evolution equation and for the spectral measure.
@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}, publisher = {Scuola Normale Superiore, Pisa}, volume = {Ser. 5, 11}, number = {4}, year = {2012}, mrnumber = {3060701}, zbl = {1335.74009}, language = {en}, url = {http://www.numdam.org/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://www.numdam.org/item/ASNSP_2012_5_11_4_817_0/ LA - en ID - ASNSP_2012_5_11_4_817_0 ER -
%0 Journal Article %A Barceló, Juan Antonio %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 %U http://www.numdam.org/item/ASNSP_2012_5_11_4_817_0/ %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, Serie 5, Volume 11 (2012) no. 4, pp. 817-842. http://www.numdam.org/item/ASNSP_2012_5_11_4_817_0/
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