Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
ESAIM: Control, Optimisation and Calculus of Variations (2011)
- Volume: 17, Issue: 3, page 761-770
- ISSN: 1292-8119
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topYu, Hang. "Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*." ESAIM: Control, Optimisation and Calculus of Variations 17.3 (2011): 761-770. <http://eudml.org/doc/221918>.
@article{Yu2011,
abstract = {
This paper studies the strong unique continuation property for the
Lamé system of elasticity with variable Lamé coefficients
λ, µ in three dimensions, $\{\rm\{div\}\}(\mu(\nabla u+\nabla
u^t))+ \nabla(\lambda\{\rm\{div\}\} u)+Vu=0$
where λ and μ are Lipschitz continuous and V∈L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.
},
author = {Yu, Hang},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Lamé system; Carleman estimate; strong unique continuation; polynomial weights},
language = {eng},
month = {8},
number = {3},
pages = {761-770},
publisher = {EDP Sciences},
title = {Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*},
url = {http://eudml.org/doc/221918},
volume = {17},
year = {2011},
}
TY - JOUR
AU - Yu, Hang
TI - Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions*
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2011/8//
PB - EDP Sciences
VL - 17
IS - 3
SP - 761
EP - 770
AB -
This paper studies the strong unique continuation property for the
Lamé system of elasticity with variable Lamé coefficients
λ, µ in three dimensions, ${\rm{div}}(\mu(\nabla u+\nabla
u^t))+ \nabla(\lambda{\rm{div}} u)+Vu=0$
where λ and μ are Lipschitz continuous and V∈L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.
LA - eng
KW - Lamé system; Carleman estimate; strong unique continuation; polynomial weights
UR - http://eudml.org/doc/221918
ER -
References
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