The Cauchy problem for a quasilinear system when there are characteristic points on the initial surface
type: Item
instance of: scholarly article
title: The Cauchy problem for a quasilinear system when there are characteristic points on the initial surface
zbMATH Open document ID: 0605.76075
DOI: 10.1016/0021-8928(85)90102-9
author: V. A. Kulikovskij
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The problem of the existence, uniqueness and analyticity of a solution of the Cauchy problem in complex and real spaces for a quasilinear analytical set of equations are examined, when the initial data are specified on an analytical surface containing characteristic points, and an error occurs in the initial data and set of equations. In particular, the Cauchy problem with initial data on the envelope of one of the families of the characteristic surfaces of the system is examined.
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 80A25
zbMATH DE Number: 3978667
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: analyticity
zbMATH Keywords: solution
zbMATH Keywords: Cauchy problem
zbMATH Keywords: quasilinear analytical set of equations
zbMATH Keywords: initial data
zbMATH Keywords: analytical surface
zbMATH Keywords: characteristic points
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90102-9
OpenAlex ID: W2003144116
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description: scientific article; zbMATH DE number 3978667