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dc.contributor.authorHenderson, Christopher
dc.contributor.authorSnelson, Stanley
dc.date.accessioned2020-01-17T19:03:59Z
dc.date.available2020-01-17T19:03:59Z
dc.date.issued2019-11-06
dc.identifier.citationHenderson, C., Snelson, S. C∞ Smoothing for Weak Solutions of the Inhomogeneous Landau Equation. Arch Rational Mech Anal 236, 113–143 (2020). https://doi.org/10.1007/s00205-019-01465-7en_US
dc.identifier.issn0003-9527
dc.identifier.doi10.1007/s00205-019-01465-7
dc.identifier.urihttp://hdl.handle.net/10150/636491
dc.description.abstractWe consider the spatially inhomogeneous Landau equation with initial data that is bounded by a Gaussian in the velocity variable. In the case of moderately soft potentials, we show that weak solutions immediately become smooth, and remain smooth as long as the mass, energy, and entropy densities remain under control. For very soft potentials, we obtain the same conclusion with the additional assumption that a sufficiently high moment of the solution in the velocity variable remains bounded. Our proof relies on the iteration of local Schauder-type estimates.en_US
dc.description.sponsorshipNational Science FoundationNational Science Foundation (NSF) [DMS-1246999]; NSFNational Science Foundation (NSF) [DMS-1907853]; Ralph E. Powe Award from ORAUen_US
dc.language.isoenen_US
dc.publisherSPRINGERen_US
dc.rights© Springer-Verlag GmbH Germany, part of Springer Nature (2019).en_US
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMechanical Engineeringen_US
dc.subjectMathematics (miscellaneous)en_US
dc.subjectAnalysisen_US
dc.titleC-infinity Smoothing for Weak Solutions of the Inhomogeneous Landau Equationen_US
dc.typeArticleen_US
dc.contributor.departmentUniv Arizona, Dept Mathen_US
dc.identifier.journalARCHIVE FOR RATIONAL MECHANICS AND ANALYSISen_US
dc.description.note12 month embargo; published online: 6 November 2019en_US
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.en_US
dc.eprint.versionFinal accepted manuscripten_US


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