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Book sections
Controllability of Parabolic Equations by the Flatness Approach
Abstract : — We consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular. We prove the null controllability with one boundary control by following the flatness approach, which provides explicitly the control and the associated trajectory as series. As an application, we consider the heat equation with a discontinuous coefficient in the principal part. The note ends with a numerical experiment which demonstrates the effectiveness of the method.
Cited literature [29 references]
https://hal-mines-paristech.archives-ouvertes.fr/hal-01769232
Contributor : Philippe Martin Connect in order to contact the contributor
Submitted on : Sunday, April 29, 2018 - 10:02:26 PM
Last modification on : Thursday, July 1, 2021 - 5:33:01 PM
Long-term archiving on: : Thursday, September 20, 2018 - 5:57:47 AM
Contributor : Philippe Martin Connect in order to contact the contributor
Submitted on : Sunday, April 29, 2018 - 10:02:26 PM
Last modification on : Thursday, July 1, 2021 - 5:33:01 PM
Long-term archiving on: : Thursday, September 20, 2018 - 5:57:47 AM
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MartiRR2017LMSLNS(final).pdf
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