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DC Field | Value | Language |
---|---|---|
dc.contributor.author | BISWAS, ANUP | en_US |
dc.contributor.author | Lorinczi, Jozsef | en_US |
dc.date.accessioned | 2021-02-23T08:40:44Z | |
dc.date.available | 2021-02-23T08:40:44Z | |
dc.date.issued | 2021-03 | en_US |
dc.identifier.citation | Nonlinear Analysis, 204, 112194. | en_US |
dc.identifier.issn | 0362-546X | en_US |
dc.identifier.issn | 1873-5215 | en_US |
dc.identifier.uri | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5651 | |
dc.identifier.uri | https://doi.org/10.1016/j.na.2020.112194 | en_US |
dc.description.abstract | We consider a large family of integro-differential equations and establish a non-local counterpart of Hopf’s lemma, directly expressed in terms of the symbol of the operator. As closely related problems, we also obtain a variety of maximum principles for viscosity solutions. In our approach we combine direct analysis with functional integration, allowing a robust control around the boundary of the domain, and make use of the related ascending ladder height-processes. We then apply these results to a study of principal eigenvalue problems, the radial symmetry of the positive solutions, and the overdetermined non-local torsion equation. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.subject | Bernstein functions of the Laplacian | en_US |
dc.subject | Non-local Dirichlet problem | en_US |
dc.subject | Principal eigenvalue problem | en_US |
dc.subject | Hopf's lemma | en_US |
dc.subject | Moving planes | en_US |
dc.subject | Overdetermined torsion equation | en_US |
dc.subject | Subordinate Brownian motion | en_US |
dc.subject | Ascending ladder height process | en_US |
dc.subject | 2021-FEB-WEEK3 | en_US |
dc.subject | TOC-FEB-2021 | en_US |
dc.subject | 2021 | en_US |
dc.title | Hopf’s lemma for viscosity solutions to a class of non-local equations with applications | en_US |
dc.type | Article | en_US |
dc.contributor.department | Dept. of Mathematics | en_US |
dc.identifier.sourcetitle | Nonlinear Analysis | en_US |
dc.publication.originofpublisher | Foreign | en_US |
Appears in Collections: | JOURNAL ARTICLES |
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