Motivated by several examples coming from physics, biology, and economics, we consider a class of parabolic operators that degenerate at the boundary of the space domain. We study null controllability by a locally distributed control. For this purpose, a specific Carleman estimate for the solutions of degenerate adjoint problems is proved.
Motivés par de nombreux problèmes venant de la physique, la biologie et de l'économie, nous considérons une classe d'équations paraboliques dont l'opérateur associé dégénère au bord du domaine spatial. Nous étudions la nulle contrôlabilité, établissant en particulier une estimation de Carleman pour l'équation dégénérée adjointe.
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@article{CRMATH_2009__347_3-4_147_0, author = {Cannarsa, Piermarco and Martinez, Partick and Vancostenoble, Judith}, title = {Carleman estimates and null controllability for boundary-degenerate parabolic operators}, journal = {Comptes Rendus. Math\'ematique}, pages = {147--152}, publisher = {Elsevier}, volume = {347}, number = {3-4}, year = {2009}, doi = {10.1016/j.crma.2008.12.011}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2008.12.011/} }
TY - JOUR AU - Cannarsa, Piermarco AU - Martinez, Partick AU - Vancostenoble, Judith TI - Carleman estimates and null controllability for boundary-degenerate parabolic operators JO - Comptes Rendus. Mathématique PY - 2009 SP - 147 EP - 152 VL - 347 IS - 3-4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2008.12.011/ DO - 10.1016/j.crma.2008.12.011 LA - en ID - CRMATH_2009__347_3-4_147_0 ER -
%0 Journal Article %A Cannarsa, Piermarco %A Martinez, Partick %A Vancostenoble, Judith %T Carleman estimates and null controllability for boundary-degenerate parabolic operators %J Comptes Rendus. Mathématique %D 2009 %P 147-152 %V 347 %N 3-4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2008.12.011/ %R 10.1016/j.crma.2008.12.011 %G en %F CRMATH_2009__347_3-4_147_0
Cannarsa, Piermarco; Martinez, Partick; Vancostenoble, Judith. Carleman estimates and null controllability for boundary-degenerate parabolic operators. Comptes Rendus. Mathématique, Volume 347 (2009) no. 3-4, pp. 147-152. doi : 10.1016/j.crma.2008.12.011. http://www.numdam.org/articles/10.1016/j.crma.2008.12.011/
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