Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications

Author(s): Constantin, Peter; Ignatova, Mihaela

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DC Field	Value	Language
dc.contributor.author	Constantin, Peter	-
dc.contributor.author	Ignatova, Mihaela	-
dc.date.accessioned	2017-11-21T19:19:27Z	-
dc.date.available	2017-11-21T19:19:27Z	-
dc.date.issued	2017-03	en_US
dc.identifier.citation	Constantin, P., & Ignatova, M. (2017). Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications. International Mathematics Research Notices, 2017(6), 1653-1673.	en_US
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1s650	-
dc.description.abstract	We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of critical surface quasi-geostrophic equations.	en_US
dc.format.extent	1653–1673	en_US
dc.language.iso	en	en_US
dc.relation.ispartof	International Mathematics Research Notices	en_US
dc.rights	Author's manuscript	en_US
dc.title	Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	10.1093/imrn/rnw098	-
dc.date.eissued	2016-05-28	en_US
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

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