Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations
type: Item
instance of: scholarly article
title: Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations
zbMATH Open document ID: 0826.35129
DOI: 10.4171/ZAA/500
author: Henryk Leszczyński
author: Z. Kamont
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1994-09-01T00:00:00Z
review text: The authors prove a theorem on differential functional inequalities in the Caratheodory sense. The proof in based on the fact that they can solve a linear differential equation with first-order partial derivatives. They obtain a theorem on the uniqueness of generalized entropy solutions to the initial-value problem for nonlinear partial differential-functional equations of the first order.
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35R45
zbMATH DE Number: 627648
zbMATH Keywords: differential functional inequalities in the Caratheodory sense
zbMATH Keywords: uniqueness of generalized entropy solutions
zbMATH Keywords: initial-value problem
reviewed by: Stefan Balint
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 627648