Integral representation of solutions using Green function for fractional Hardy equations

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dc.contributor.authorBHAKTA, MOUSOMIen_US
dc.contributor.authorBISWAS, ANUPen_US
dc.contributor.authorGANGULY, DEBDIPen_US
dc.contributor.authorMontoro, Luigien_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2020-08-07T07:23:40Z
dc.date.available2020-08-07T07:23:40Z
dc.date.issued2020-09en_US
dc.description.abstractOur main aim is to study Green function for the fractional Hardy operator P := (-Delta)(s) - theta/vertical bar x vertical bar(2s) in R-N, where 0 < theta< Lambda(Ns) and Lambda(N,s) is the best constant in the fractional Hardy inequality. Using Green function, we also show that the integral representation of the weak solution holds.en_US
dc.identifier.citationJournal of Differential Equations, 269(7), 5573-5594.en_US
dc.identifier.issn1090-2732en_US
dc.identifier.issn0022-0396en_US
dc.identifier.sourcetitleJournal of Differential Equationsen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4937
dc.identifier.urihttps://doi.org/10.1016/j.jde.2020.04.022
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectFractional Laplacianen_US
dc.subjectHardy operatoren_US
dc.subjectGreen functionen_US
dc.subjectIntegral representationen_US
dc.subjectHardy equationen_US
dc.subjectSemigroupen_US
dc.subjectTOC-AUG-2020en_US
dc.subject2020en_US
dc.subject2020-AUG-WEEK1en_US
dc.titleIntegral representation of solutions using Green function for fractional Hardy equationsen_US
dc.typeArticleen_US

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