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Article: Remarks on a nonlocal transport

TitleRemarks on a nonlocal transport
Authors
Li, DongRodrigo, Jose
KeywordsBlow-up
Hilbert transform
Quasi-geostrophic equations
Supercritical
Issue Date2020
Citation
Advances in Mathematics, 2020, v. 374, article no. 107345 How to Cite?
DOI: http://dx.doi.org/10.1016/j.aim.2020.107345
AbstractWe consider a one dimensional nonlocal transport equation and its natural multi-dimensional analogues. By using a new pointwise inequality for the Hilbert transform, we give a short proof of a nonlinear inequality first proved by Córdoba, Córdoba and Fontelos in 2005. We also prove several new weighted inequalities for the Hilbert transform and various nonlinear versions. Some of these results generalize to a related family of nonlocal models.
Persistent Identifierhttp://hdl.handle.net/10722/327286
ISSN
0001-8708
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 2.022
ISI Accession Number ID
WOS:000577506500017

 

DC FieldValueLanguage
dc.contributor.authorLi, Dong-
dc.contributor.authorRodrigo, Jose-
dc.date.accessioned2023-03-31T05:30:15Z-
dc.date.available2023-03-31T05:30:15Z-
dc.date.issued2020-
dc.identifier.citationAdvances in Mathematics, 2020, v. 374, article no. 107345-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10722/327286-
dc.description.abstractWe consider a one dimensional nonlocal transport equation and its natural multi-dimensional analogues. By using a new pointwise inequality for the Hilbert transform, we give a short proof of a nonlinear inequality first proved by Córdoba, Córdoba and Fontelos in 2005. We also prove several new weighted inequalities for the Hilbert transform and various nonlinear versions. Some of these results generalize to a related family of nonlocal models.-
dc.languageeng-
dc.relation.ispartofAdvances in Mathematics-
dc.subjectBlow-up-
dc.subjectHilbert transform-
dc.subjectQuasi-geostrophic equations-
dc.subjectSupercritical-
dc.titleRemarks on a nonlocal transport-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.aim.2020.107345-
dc.identifier.scopuseid_2-s2.0-85088955013-
dc.identifier.volume374-
dc.identifier.spagearticle no. 107345-
dc.identifier.epagearticle no. 107345-
dc.identifier.eissn1090-2082-
dc.identifier.isiWOS:000577506500017-

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