# Nonlinear maximum principles for dissipative linear nonlocal operators and applications

## Author(s): Constantin, Peter; Vicol, Vlad C.

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr10s8r
DC FieldValueLanguage
dc.contributor.authorConstantin, Peter-
dc.date.accessioned2017-11-21T19:19:50Z-
dc.date.available2017-11-21T19:19:50Z-
dc.date.issued2012-10en_US
dc.identifier.citationConstantin, Peter, Vicol, Vlad. (2012). Nonlinear maximum principles for dissipative linear nonlocal operators and applications. GEOMETRIC AND FUNCTIONAL ANALYSIS, 22 (1289 - 1321. doi:10.1007/s00039-012-0172-9en_US
dc.identifier.issn1016-443X-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr10s8r-
dc.description.abstractWe obtain a family of nonlinear maximum principles for linear dissipa- tive nonlocal operators, that are general, robust, and versatile. We use these nonlinear bounds to provide transparent proofs of global regularity for critical SQG and critical d-dimensional Burgers equations. In addition we give applications of the nonlinear maximum principle to the global regularity of a slightly dissipative anti-symmetric perturbation of 2D incompressible Euler equations and generalized fractional dissi- pative 2D Boussinesq equations.en_US
dc.format.extent1289 - 1321en_US
dc.language.isoenen_US
dc.relation.ispartofGEOMETRIC AND FUNCTIONAL ANALYSISen_US
dc.rightsAuthor's manuscripten_US
dc.titleNonlinear maximum principles for dissipative linear nonlocal operators and applicationsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s00039-012-0172-9-
dc.date.eissued2012-08-31en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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