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Error estimates for the numerical approximation of unregularized sparse parabolic control problems

Abstract: We study the numerical approximation of a control problem governed by a semilinear parabolic problem, where the usual Tikhonov regularization term in the cost functional is replaced by a non-differentiable sparsity-promoting term.

Authorship: Casas E., Mateos M.,

Fuente: Computational Methods in Applied Mathematics, 2023, 23(4), 877-898

Publisher: Walter de Gruyter

Publication date: 01/08/2023

No. of pages: 22

Publication type: Article

DOI: 10.1515/cmam-2022-0130

ISSN: 1609-4840,1609-9389

Spanish project: PID2020-114837GB-I00

Publication Url: https://doi.org/10.1515/cmam-2022-0130

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EDUARDO CASAS RENTERIA

MARIANO MATEOS ALBERDI

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Error estimates for the numerical approximation of unregularized sparse parabolic control problems

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