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Initial-boundary value problems for continuity equations with BV coefficients
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 2314587
Author(s) Crippa, Gianluca; Donadello, Carlotta; Spinolo, Laura V.
Author(s) at UniBasel Crippa, Gianluca
Year 2014
Title Initial-boundary value problems for continuity equations with BV coefficients
Journal Journal de mathématiques pures et appliquées
Volume 102
Number 1
Pages / Article-Number 79-98
Keywords Continuity equation, Transport equation, Initial-boundary value problem, Low regularity coefficients
Abstract We establish well-posedness of initial-boundary value problems for continuity equations with BV (bounded total variation) coefficients. We do not prescribe any condition on the orientation of the coefficients at the boundary of the domain. We also discuss some examples showing that, regardless of the orientation of the coefficients at the boundary, uniqueness may be violated as soon as the BV regularity deteriorates at the boundary. (c) 2013 Elsevier Masson SAS. All rights reserved.
Publisher Gauthier-Villars
ISSN/ISBN 0021-7824
edoc-URL http://edoc.unibas.ch/dok/A6328759
Full Text on edoc Available
Digital Object Identifier DOI 10.1016/j.matpur.2013.11.002
ISI-Number WOS:000337850900004
Document type (ISI) Article
 
   

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