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Corrigendum and improvements to “Carleman estimates, observability inequalities and null controllability for interior degenerate non smooth parabolic equations”, and its consequences
About this Title
Genni Fragnelli and Dimitri Mugnai
Publication: Memoirs of the American Mathematical Society
Publication Year:
2021; Volume 272, Number 1332
ISBNs: 978-1-4704-4787-8 (print); 978-1-4704-6748-7 (online)
DOI: https://doi.org/10.1090/memo/1332
Published electronically: September 27, 2021
Keywords: Degenerate equation,
singular equation,
interior degeneracy,
interior singularity,
Carleman estimates,
observability inequalities
Table of Contents
Chapters
- 1. Introduction
- 2. Correction to \cite{fm1}
- 3. Correction to \cite{f_{J}DE}
- 4. Correction to \cite{fm2}
- Acknowledgments
Abstract
This paper is a corrigendum of one hypothesis introduced in Mem. Amer. Math. Soc. 242 (2016), no. 1146, and used again in J. Differential Equations 260 (2016), pp. 1314–1371 and Adv. Nonlinear Anal. 6 (2017), pp. 61–84]. We give here the corrected proofs of the concerned results, improving most of them.- Genni Fragnelli, Interior degenerate/singular parabolic equations in nondivergence form: well-posedness and Carleman estimates, J. Differential Equations 260 (2016), no. 2, 1314–1371. MR 3419728, DOI 10.1016/j.jde.2015.09.019
- Genni Fragnelli and Dimitri Mugnai, Carleman estimates, observability inequalities and null controllability for interior degenerate nonsmooth parabolic equations, Mem. Amer. Math. Soc. 242 (2016), no. 1146, v+84. MR 3498150, DOI 10.1090/memo/1146
- Genni Fragnelli and Dimitri Mugnai, Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients, Adv. Nonlinear Anal. 6 (2017), no. 1, 61–84. MR 3604938, DOI 10.1515/anona-2015-0163