| dc.contributor.author | Roncal, Luz | |
| dc.contributor.author | Stan, Diana | |
| dc.contributor.author | Vega, Luis | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2023-02-28T15:40:50Z | |
| dc.date.available | 2023-02-28T15:40:50Z | |
| dc.date.issued | 2023 | |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.issn | 1988-2807 | |
| dc.identifier.other | PGC2018-094522-B-I00 | es_ES |
| dc.identifier.other | PID2020-113156GB-I00 | es_ES |
| dc.identifier.uri | https://hdl.handle.net/10902/27929 | |
| dc.description.abstract | In this paper we derive Carleman estimates for the fractional relativistic operator. We consider changing-sign solutions to the heat equation for such operators. We prove monotonicity inequalities and convexity of certain energy functionals to deduce Carleman estimates with linear exponential weight. Our approach is based on spectral methods and functional calculus. | es_ES |
| dc.description.sponsorship | The first and third authors were supported by the Basque Government through BERC 2018–2021 program and by Spanish Ministry of Science, Innovation and Universities through BCAM Severo Ochoa accreditation SEV-2017-2018. The second and third authors were supported by the ERCEA Advanced Grant 2014 669689 - HADE and by the Spanish research project PGC2018-094522-B-I00 from the MICINNU. The first author is also supported by the project PID2020-113156GB-I00 / AEI / 10.13039/501100011033 and acronym “HAPDE”. She also acknowledges the RyC project RYC2018-025477-I and Ikerbasque | es_ES |
| dc.format.extent | 32 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Servicio de Publicaciones, Universidad Complutense | es_ES |
| dc.rights | © Universidad Complutense de Madrid. Publicada por Springer. The final publication is available at Springer via https://doi.org/10.1007/s13163-021-00421-y | es_ES |
| dc.source | Revista Matematica Complutense, 2023, 36, 301-332 | es_ES |
| dc.subject.other | Fractional relativistic operators | es_ES |
| dc.subject.other | Carleman estimates | es_ES |
| dc.subject.other | Monotonicity estimates | es_ES |
| dc.title | Carleman type inequalities for fractional relativistic operators | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | https://doi.org/10.1007/s13163-021-00421-y | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1007/s13163-021-00421-y | |
| dc.type.version | acceptedVersion | es_ES |
