On overdetermined problems for a general class of nonlocal operators

dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	Jarohs, Sven	en_US
dc.date.accessioned	2020-01-28T03:46:13Z
dc.date.available	2020-01-28T03:46:13Z
dc.date.issued	2020-02	en_US
dc.identifier.citation	Journal of Differential Equations, 268(5), 2368-2393.	en_US
dc.identifier.issn	1090-2732	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4375
dc.identifier.uri	https://doi.org/10.1016/j.jde.2019.09.010	en_US
dc.description.abstract	We 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.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Viscosity solutions	en_US
dc.subject	Moving plane	en_US
dc.subject	Subordinate Brownian motions	en_US
dc.subject	Hopf's Lemma	en_US
dc.subject	Rigidity result	en_US
dc.subject	TOC-JAN-2020	en_US
dc.subject	2020	en_US
dc.title	On overdetermined problems for a general class of nonlocal operators	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Differential Equations	en_US
dc.publication.originofpublisher	Foreign	en_US