On some differential inequalities and the uniqueness of global semiclassical solutions to the Cauchy problem for weakly-coupled systems
type: Item
instance of: scholarly article
title: On some differential inequalities and the uniqueness of global semiclassical solutions to the Cauchy problem for weakly-coupled systems
zbMATH Open document ID: 0952.35002
DOI: 10.1155/S1025583498000228
author: Tran Duc Van
author: Le Van Hap
author: Nguyen Duy Thai Son
published in: Journal of Inequalities and Applications
publication date: 2000-12-06T00:00:00Z
full work available at URL: https://eudml.org/doc/120695
review text: The authors consider some partial differential inequalities of Haar type \[ |u_t|\leq M|\nabla_x u|+\rho(t,|u|), \] with \( \rho\in C^0\). They combine the method of multifunction and differential inclusions (see \textit{T. D. Van} and \textit{N. D. Thai Son} [Proc. Am. Math. Soc. 121, No. 3, 865-870 (1994; Zbl 0818.35018)]; \textit{T. D. Van} and \textit{N.~D.~Thai Son} [Differential Equations 30, No.~4, 659-666 (1994); translation from Differ. Uravn. 30, No.~4, 712-719 (1994; Zbl 0826.35019)]) with the technique of Carathéodory comparison equations and prove some new uniqueness criteria for weakly coupled systems.
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35F25
zbMATH DE Number: 1248237
zbMATH Keywords: differential inequalities of Haar type
zbMATH Keywords: weakly-coupled systems
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1248237