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.
@article{JEDP_2002____A5_0, author = {Imanuvilov, Oleg Yu. and Yamamoto, Masahiro}, title = {Remarks on {Carleman} estimates and exact controllability of the {Lam\'e} system}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {5}, pages = {1--19}, publisher = {Universit\'e de Nantes}, year = {2002}, doi = {10.5802/jedp.603}, mrnumber = {1968201}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.603/} }
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 SP - 1 EP - 19 PB - Université de Nantes UR - http://www.numdam.org/articles/10.5802/jedp.603/ DO - 10.5802/jedp.603 LA - en ID - JEDP_2002____A5_0 ER -
%0 Journal Article %A Imanuvilov, Oleg Yu. %A Yamamoto, Masahiro %T Remarks on Carleman estimates and exact controllability of the Lamé system %J Journées équations aux dérivées partielles %D 2002 %P 1-19 %I Université de Nantes %U http://www.numdam.org/articles/10.5802/jedp.603/ %R 10.5802/jedp.603 %G en %F JEDP_2002____A5_0
Imanuvilov, Oleg Yu.; Yamamoto, Masahiro. Remarks on Carleman estimates and exact controllability of the Lamé system. Journées équations aux dérivées partielles (2002), article no. 5, 19 p. doi : 10.5802/jedp.603. http://www.numdam.org/articles/10.5802/jedp.603/
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