A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces
ESAIM. Proceedings, Tome 2 (1997), pp. 17-53
We consider a hybrid system consisting in two flexible beams connected by a point mass. We prove that the presence of the point mass affects the spectral gap when the inertia term does not vanish. This allows us to show that the system is well-posed in a symmetric space in which solutions have one more degree of regularity to one side of the mass. The proofs combine classical techniques from asymptotic analysis and the theory of non-harmonic Fourier series.
@article{EP_1997_2_a1,
author = {Carlos Castro and Enrique Zuazua},
title = {A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces},
journal = {ESAIM. Proceedings},
pages = {17--53},
year = {1997},
volume = {2},
doi = {10.1051/proc:1997022},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1997022/}
}
TY - JOUR AU - Carlos Castro AU - Enrique Zuazua TI - A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces JO - ESAIM. Proceedings PY - 1997 SP - 17 EP - 53 VL - 2 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc:1997022/ DO - 10.1051/proc:1997022 LA - en ID - EP_1997_2_a1 ER -
%0 Journal Article %A Carlos Castro %A Enrique Zuazua %T A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces %J ESAIM. Proceedings %D 1997 %P 17-53 %V 2 %U http://geodesic.mathdoc.fr/articles/10.1051/proc:1997022/ %R 10.1051/proc:1997022 %G en %F EP_1997_2_a1
Carlos Castro; Enrique Zuazua. A hybrid system consisting in two flexible beams connected by a point mass: spectral analysis and well-posedness in asymmetric spaces. ESAIM. Proceedings, Tome 2 (1997), pp. 17-53. doi: 10.1051/proc:1997022
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