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Journal articles
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
Abstract : In arbitrary dimension, in the discrete setting of finite-differences we prove a Carleman estimate for a semi-discrete parabolic operator, in which the large parameter is connected to the mesh size. This estimate is applied for the derivation of a (relaxed) observability estimate, that yield some controlability results for semi-linear semi-discrete parabilic equations. Sub-linear and super-linear cases are considered.
Cited literature [11 references]
https://hal.archives-ouvertes.fr/hal-00724766
Contributor : Jérôme Le Rousseau <>
Submitted on : Wednesday, August 22, 2012 - 3:32:45 PM
Last modification on : Sunday, March 29, 2020 - 6:24:03 PM
Document(s) archivé(s) le : Friday, November 23, 2012 - 2:26:26 AM
Contributor : Jérôme Le Rousseau <>
Submitted on : Wednesday, August 22, 2012 - 3:32:45 PM
Last modification on : Sunday, March 29, 2020 - 6:24:03 PM
Document(s) archivé(s) le : Friday, November 23, 2012 - 2:26:26 AM
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