Uniqueness of continuous solutions for BV vector fields
type: Item
instance of: scholarly article
title: Uniqueness of continuous solutions for BV vector fields
zbMATH Open document ID: 1017.35029
DOI: 10.1215/S0012-7094-01-11126-5
author: Ferruccio Colombini
author: N. Lerner
published in: Duke Mathematical Journal
publication date: 2002-10-27T00:00:00Z
review text: The authors study the Cauchy problem for a transport equation \(Xu=cu\) associated with a vector field \(X=\partial_t+\sum_{j=1}^d a_j(t,x)\partial_j\), in which coefficients \(a_j\) are assumed to be functions of bounded variation. Under some additional assumptions on growth of the coefficients the authors prove the uniqueness of continuous solutions.
Mathematics Subject Classification ID: 35F10
Mathematics Subject Classification ID: 26A45
zbMATH DE Number: 1820876
zbMATH Keywords: transport equation
zbMATH Keywords: BV vector fields
zbMATH Keywords: Cauchy problem
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
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full work available at URL: s0012-7094-01-11126-5
OpenAlex ID: W2078590840
description: scientific article; zbMATH DE number 1820876