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Lagrangian flows for vector fields with gradient given by a singular integral

Bouchut, Francois and Crippa, Gianluca. (2013) Lagrangian flows for vector fields with gradient given by a singular integral. Journal of hyperbolic differential equations, Vol. 10, H. 2. pp. 235-282.

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Official URL: http://edoc.unibas.ch/dok/A6183951

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Abstract

We prove quantitative estimates on ows of ordinary di�erential equations with vector �field with gradient given by a singular integral of an L1 function. Such estimates allow to prove existence, uniqueness, quantitative stability and compactness for the flow, going beyond the BV theory. We illustrate the related well-posedness theory of Lagrangian solutions to the continuity and transport equations.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa)
UniBasel Contributors:Crippa, Gianluca
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Publisher:World Scientific
Note:Publication type according to Uni Basel Research Database: Journal article
Language:English
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Last Modified:31 Dec 2015 10:54
Deposited On:08 Nov 2013 08:29

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