A stability estimate for data assimilation subject to the heat equation with initial datum
This paper studies the unique continuation problem for the heat equation. We prove a so-called conditional stability estimate for the solution. We are interested in local estimates that are Hölder stable with the weakest possible norms of data on the right-hand side. Such an estimate is useful for t...
Main Authors: | Burman, Erik, Delay, Guillaume, Ern, Alexandre, Oksanen, Lauri |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2023-11-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.506/ |
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