Discrete Carleman estimates and three balls inequalities

Fernández-Bertolin, Aingeru; Roncal, Luz; Rüland, Angkana; Stan, Diana

doi:10.1007/s00526-021-02098-z

dc.contributor.author	Fernández-Bertolin, Aingeru
dc.contributor.author	Roncal, Luz
dc.contributor.author	Rüland, Angkana
dc.contributor.author	Stan, Diana
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2022-04-07T16:23:35Z
dc.date.available	2022-04-07T16:23:35Z
dc.date.issued	2021-12
dc.identifier.issn	0944-2669
dc.identifier.issn	1432-0835
dc.identifier.other	PID2020-113156GB-I00	es_ES
dc.identifier.other	PGC2018-094528-B-I00	es_ES
dc.identifier.other	PGC2018-094522-B-I00	es_ES
dc.identifier.uri	http://hdl.handle.net/10902/24528
dc.description.abstract	We prove logarithmic convexity estimates and three balls inequalities for discrete magnetic Schrödinger operators. These quantitatively connect the discrete setting in which the unique continuation property fails and the continuum setting in which the unique continuation property is known to hold under suitable regularity assumptions. As a key auxiliary result which might be of independent interest we present a Carleman estimate for these discrete operators.	es_ES
dc.description.sponsorship	Acknowledgements: The first author is supported by ERCEA Advanced Grant 2014 669689—HADE, by the project PGC2018-094528-B-I00 (AEI/FEDER, UE) and acronym “IHAIP”, and by the Basque Government through the project IT1247-19. The second author is supported by the Basque Government through the BERC 2018-2021 program, by the Spanish Ministry of Science, Innovation, and Universities MICINNU: BCAM Severo Ochoa excellence accreditation SEV-2017-2018 and through project PID2020-113156GB-I00. She also acknowledges the RyC project RYC2018-025477-I and IKERBASQUE. The fourth author is supported by the Spanish research project PGC2018-094522-B-I00 from the MICINNU and by the project VP42 “Ecuaciones de evolución no lineales y no locales y aplicaciones” from the Cons. de Univ., Igualdad, Cultura y Deporte, Cantabria, Spain. The authors would like to thank Sylvain Ervedoza for pointing out the optimal scaling in τh ≤ δ0 in the Carleman inequality.	es_ES
dc.format.extent	28 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Springer Nature	es_ES
dc.rights	Attribution 4.0 International	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.source	Calculus of Variations and Partial Differential Equations, 2021, 60 (6), 239	es_ES
dc.title	Discrete Carleman estimates and three balls inequalities	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1007/s00526-021-02098-z	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.identifier.DOI	10.1007/s00526-021-02098-z
dc.type.version	publishedVersion	es_ES