We prove a null controllability result with an arbitrary control location in dimension greater than or equal to two for a class of linear parabolic operators with non-smooth coefficients. The coefficients are assumed to be smooth in all but one directions.
Nous prouvons un résultat de contrôlabilité à zéro avec une localisation arbitraire de la zone de contrôle en dimension plus grande que deux pour une classe d'opérateurs paraboliques avec des coefficients non réguliers. Les coefficients sont supposés singuliers dans une seule direction.
Accepted:
Published online:
Assia Benabdallah 1; Yves Dermenjian 1; Jérôme Le Rousseau 1
@article{CRMATH_2007__344_6_357_0,
author = {Assia Benabdallah and Yves Dermenjian and J\'er\^ome Le Rousseau},
title = {On the controllability of linear parabolic equations with an arbitrary control location for stratified media},
journal = {Comptes Rendus. Math\'ematique},
pages = {357--362},
publisher = {Elsevier},
volume = {344},
number = {6},
year = {2007},
doi = {10.1016/j.crma.2007.01.012},
language = {en},
}
TY - JOUR AU - Assia Benabdallah AU - Yves Dermenjian AU - Jérôme Le Rousseau TI - On the controllability of linear parabolic equations with an arbitrary control location for stratified media JO - Comptes Rendus. Mathématique PY - 2007 SP - 357 EP - 362 VL - 344 IS - 6 PB - Elsevier DO - 10.1016/j.crma.2007.01.012 LA - en ID - CRMATH_2007__344_6_357_0 ER -
%0 Journal Article %A Assia Benabdallah %A Yves Dermenjian %A Jérôme Le Rousseau %T On the controllability of linear parabolic equations with an arbitrary control location for stratified media %J Comptes Rendus. Mathématique %D 2007 %P 357-362 %V 344 %N 6 %I Elsevier %R 10.1016/j.crma.2007.01.012 %G en %F CRMATH_2007__344_6_357_0
Assia Benabdallah; Yves Dermenjian; Jérôme Le Rousseau. On the controllability of linear parabolic equations with an arbitrary control location for stratified media. Comptes Rendus. Mathématique, Volume 344 (2007) no. 6, pp. 357-362. doi : 10.1016/j.crma.2007.01.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.01.012/
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