Solvability of hyperbolic IBVPs through filtering
type: Item
instance of: scholarly article
title: Solvability of hyperbolic IBVPs through filtering
zbMATH Open document ID: 1114.35118
author: Denis Serre
published in: Methods and Applications of Analysis
publication date: 2007-03-27T00:00:00Z
review text: The paper refers to linear hyperbolic boundary value problems for operators having constant coefficients and focuses on systems of classes WR, i.e. systems that are stable under small disturbances of the coefficients in the PDE as well as in the boundary conditions. One shows that an appropriate filtering applied to both the solution and the data converts a boundary value problem of class WR into a strongly well-posed boundary value problem.
reviewed by: Claudia Simionescu-Badea
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 5137331
zbMATH Keywords: Lopatinskii condition
zbMATH Keywords: structural stability
zbMATH Keywords: constant coefficients
zbMATH Keywords: classes WR
zbMATH Keywords: strongly well-posed
MaRDI profile type: Publication
full work available at URL: maa.2005.v12.n3.a3
OpenAlex ID: W2063420404
DOI: 10.4310/MAA.2005.V12.N3.A3
description: scientific article; zbMATH DE number 5137331