Remarks on Carleman estimates and exact controllability of the Lamé system

Oleg Yu. Imanuvilov; Masahiro Yamamoto

Journées équations aux dérivées partielles (2002)

  • Volume: 11, page 1-19
  • ISSN: 0752-0360

Abstract

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In this paper we established the Carleman estimate for the two dimensional Lamé system with the zero Dirichlet boundary conditions. Using this estimate we proved the exact controllability result for the Lamé system with with a control locally distributed over a subdomain which satisfies to a certain type of nontrapping conditions.

How to cite

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Imanuvilov, Oleg Yu., and Yamamoto, Masahiro. "Remarks on Carleman estimates and exact controllability of the Lamé system." Journées équations aux dérivées partielles 11 (2002): 1-19. <http://eudml.org/doc/93432>.

@article{Imanuvilov2002,
abstract = {In this paper we established the Carleman estimate for the two dimensional Lamé system with the zero Dirichlet boundary conditions. Using this estimate we proved the exact controllability result for the Lamé system with with a control locally distributed over a subdomain which satisfies to a certain type of nontrapping conditions.},
author = {Imanuvilov, Oleg Yu., Yamamoto, Masahiro},
journal = {Journées équations aux dérivées partielles},
keywords = {Carleman estimate; Lamé system; uniqueness; stability; Lamé coefficients},
language = {eng},
pages = {1-19},
publisher = {Université de Nantes},
title = {Remarks on Carleman estimates and exact controllability of the Lamé system},
url = {http://eudml.org/doc/93432},
volume = {11},
year = {2002},
}

TY - JOUR
AU - Imanuvilov, Oleg Yu.
AU - Yamamoto, Masahiro
TI - Remarks on Carleman estimates and exact controllability of the Lamé system
JO - Journées équations aux dérivées partielles
PY - 2002
PB - Université de Nantes
VL - 11
SP - 1
EP - 19
AB - In this paper we established the Carleman estimate for the two dimensional Lamé system with the zero Dirichlet boundary conditions. Using this estimate we proved the exact controllability result for the Lamé system with with a control locally distributed over a subdomain which satisfies to a certain type of nontrapping conditions.
LA - eng
KW - Carleman estimate; Lamé system; uniqueness; stability; Lamé coefficients
UR - http://eudml.org/doc/93432
ER -

References

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