An existence theorem for a quasilinear hyperbolic boundary value problem solved by semidiscretization in time
type: Item
instance of: scholarly article
title: An existence theorem for a quasilinear hyperbolic boundary value problem solved by semidiscretization in time
zbMATH Open document ID: 0592.35090
DOI: 10.4171/ZAA/190
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1986-01-01T00:00:00Z
review text: The author considers the system of two quasilinear hyperbolic equations with integrable coefficients and right-hand side, which is transformed into one complex differential equation. By use of Rothe's method he proves existence of weak solution of the above equation on \(G\times (0,T)\) satisfying Dirichlet condition on G and some initial data.
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35A35
zbMATH DE Number: 3951143
zbMATH Keywords: semidiscretization
zbMATH Keywords: quasilinear hyperbolic equations
zbMATH Keywords: Rothe's method
zbMATH Keywords: weak solution
author: V. Pluschke
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/zaa/190
OpenAlex ID: W2562862353
description: scientific article; zbMATH DE number 3951143