On overdetermined problems for a general class of nonlocal operators

Simple item page
dc.contributor.authorBISWAS, ANUPen_US
dc.contributor.authorJarohs, Svenen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2020-01-28T03:46:13Z
dc.date.available2020-01-28T03:46:13Z
dc.date.issued2020-02en_US
dc.description.abstractWe study the overdetermined problem for a large family of non-local operators given by generators of subordinate Brownian motions. In particular, this family includes the fractional Laplacian, relativistic stable operators etc. We consider these problems in bounded domains, exterior domains, and in annular domains and we show that under suitable conditions, the domains and solutions are both radially symmetric. Our method uses both analytic and probabilistic tools.en_US
dc.identifier.citationJournal of Differential Equations, 268(5), 2368-2393.en_US
dc.identifier.issn1090-2732en_US
dc.identifier.sourcetitleJournal of Differential Equationsen_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4375
dc.identifier.urihttps://doi.org/10.1016/j.jde.2019.09.010
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectViscosity solutionsen_US
dc.subjectMoving planeen_US
dc.subjectSubordinate Brownian motionsen_US
dc.subjectHopf's Lemmaen_US
dc.subjectRigidity resulten_US
dc.subjectTOC-JAN-2020en_US
dc.subject2020en_US
dc.titleOn overdetermined problems for a general class of nonlocal operatorsen_US
dc.typeArticleen_US

Files

Collections

JOURNAL ARTICLES