Correction to “The unique continuation property for second order evolution PDEs” [Partial Differ. Equ. Appl. 2, 67 (2021), 46 p] with additional comments

Mourad Choulli ()
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Mourad Choulli: Université de Lorraine

Partial Differential Equations and Applications, 2025, vol. 6, issue 4, 1-8

Abstract: Abstract The proof of the final-time observability inequality in Choulli (Partial Differ Equ.Appl 2:67, 2021, Theorem 5.4) is based on inequality (5.16) (Choulli in Partial Differ Equ Appl 2:67, 2021, proof of Theorem 5.4). The proof of this inequality is unfortunately incorrect. We propose a new proof of Choulli (Partial Differ Equ Appl 2:67, 2021, Theorem 5.4) using another method. We also provide some additional comments.

Keywords: Heat equation; Carleman inequality; Final-time observability inequality; 35A23; 35J15; 35K10 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s42985-025-00339-w

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