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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 Connect in order to contact the contributor
Submitted on : Wednesday, August 22, 2012 - 3:32:45 PM
Last modification on : Wednesday, October 13, 2021 - 3:15:21 AM
Long-term archiving on: : Friday, November 23, 2012 - 2:26:26 AM
Contributor : Jérôme Le Rousseau Connect in order to contact the contributor
Submitted on : Wednesday, August 22, 2012 - 3:32:45 PM
Last modification on : Wednesday, October 13, 2021 - 3:15:21 AM
Long-term archiving on: : Friday, November 23, 2012 - 2:26:26 AM
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