A regularity theorem for a non-convex scalar conservation law
type: Item
instance of: scholarly article
title: A regularity theorem for a non-convex scalar conservation law
zbMATH Open document ID: 0545.34005
DOI: 10.1016/0022-0396(86)90126-9
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: In this paper we study the regularity properties of solutions of a single conservation law. We prove that if the flux function \(f(\cdot)\) is smooth and totally nonlinear in the sense that f''(\(\cdot)\) vanishes at isolated points only, and if the initial data \(u_ 0(\cdot)\) is bounded and measurable, then f'(\(u(\cdot,t))\) is in the class of functions of locally bounded variation for all \(t>0\).
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 70J30
zbMATH DE Number: 3867739
zbMATH Keywords: regularity theorem
zbMATH Keywords: conservation law
zbMATH Keywords: flux function
author: Kuo-Shung Cheng
MaRDI profile type: Publication
full work available at URL: 0022-0396(86)90126-9
OpenAlex ID: W2013030323
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description: scientific article; zbMATH DE number 3867739