Strong unique continuation for the Lamé system with Lipschitz coefficients in three dimensions

Hang Yu

ESAIM: Control, Optimisation and Calculus of Variations (2011)

  • Volume: 17, Issue: 3, page 761-770
  • ISSN: 1292-8119

Abstract

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This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µin three dimensions, div ( μ ( ∇ u + ∇ u t ) ) + ∇ ( λ div u ) + V u = 0 whereλ and μ are Lipschitz continuous and V∈L∞. The method is based on the Carleman estimate with polynomial weights for the Lamé operator.

How to cite

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Yu, 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/272755>.

@article{Yu2011,
abstract = {This paper studies the strong unique continuation property for the Lamé system of elasticity with variable Lamé coefficients λ, µin three dimensions, $\{\rm \{div\}\}(\mu (\nabla u+\nabla u^t))+ \nabla (\lambda \{\rm \{div\}\} u)+Vu=0$ whereλ 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},
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/272755},
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
PY - 2011
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, µin three dimensions, ${\rm {div}}(\mu (\nabla u+\nabla u^t))+ \nabla (\lambda {\rm {div}} u)+Vu=0$ whereλ 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/272755
ER -

References

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