Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains.
type: Item
instance of: scholarly article
title: Scalar multidimensional conservation laws IBVP in noncylindrical Lipschitz domains.
zbMATH Open document ID: 1035.35075
DOI: 10.1016/S0022-0396(03)00132-3
author: Wladimir Neves
published in: Journal of Differential Equations
publication date: 2003-08-25T00:00:00Z
review text: The author studies the initial-boundary-value problem for multidimensional scalar conservation laws in noncylindrical domains with Lipschitz boundary. The initial and boundary data are assumed to belong \(L^\infty\). The existence and uniqueness of a weak entropy solution are proved. For the smooth domain the \(L^1\)-contruction property is also established.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35L50
zbMATH DE Number: 1970600
zbMATH Keywords: weak entropy solution
reviewed by: Evgeniy Panov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1970600