Uniqueness of signed measures solving the continuity equation for Osgood vector fields

Simple item page
dc.creatorAmbrosio, Luigi
dc.creatorBernard, Patrick
dc.date2008-07-10
dc.date.accessioned2026-07-07T12:39:43Z
dc.date.available2026-07-07T12:39:43Z
dc.descriptionNonnegative measure-valued solutions of the continuity equation are uniquely determined by their initial condition, if the characteristic ODE associated to the velocity field has a unique solution. In this paper we give a partial extension of this result to signed measure-valued solutions, under a quantitative two-sided Osgood condition on the velocity field. Our results extend those obtained for log-Lipschitz vector fields by Bahouri and Chemin.
dc.identifierhttps://arxiv.org/abs/0807.1592
dc.identifierhttp://arxiv.org/abs/0807.1592
dc.identifierRendiconti Lincei - Matematica E Applicationi 19, 3 (2008) 237--245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219211
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.titleUniqueness of signed measures solving the continuity equation for Osgood vector fields
dc.typetext

Files

Collections

arXiv