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Revision as of 22:32, 16 November 2021

Abstract

Our goal in this paper, is the identification of initial condition in a heat equation that contains a memory term from final data. To this aim, we first establish the well-posedness of the direct problem. Then we prove the continuity and the G-derivability of the cost function. Finally we validate the results numerically by using a deep neural network. Our algorithm is meshfree. 2010 Mathematics Subject Classification. ...

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Published on 24/11/21
Submitted on 16/11/21

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