Global classical solutions to typical free-boundary problems for quasi- linear hyperbolic systems
type: Item
instance of: scholarly article
title: Global classical solutions to typical free-boundary problems for quasi- linear hyperbolic systems
zbMATH Open document ID: 0726.35076
author: Yanchun Zhao
author: Tatsien Li
published in: Science in China. Series A
publication date: 1990-01-01T00:00:00Z
review text: Für quasilineare hyperbolische Systeme vom Typ \[ \partial r/\partial t+\lambda (r,s)\partial r/\partial x=0,\quad \partial s/\partial t+\mu (r,s)\partial s/\partial x=0 \] wird unter zusätzlichen Bedingungen die globale Existenz der Lösung des zugehörigen Anfangsrandwertproblems in Gebieten \(\{\) (t,x) \(|\) \(t\geq 0\), \(x_ 1(t)<x<x_ 2(t)\}\) bewiesen, wobei \(x_ 1\) und \(x_ 2\) vorgegebene Funktionen sind. Das Ergebnis wird auf eine Klasse von freien Randwertproblemen erweitert.
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 35L60
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 4198617
zbMATH Keywords: global existence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4198617