An initial-boundary-value problem for hyperbolic differential-operator equations on a finite interval.
type: Item
instance of: scholarly article
title: An initial-boundary-value problem for hyperbolic differential-operator equations on a finite interval.
zbMATH Open document ID: 1164.34458
author: Yakov Yakubov
author: Sasun Yakubov
published in: Differential and Integral Equations
publication date: 2007-03-29T00:00:00Z
review text: An abstract interpretation of initial-boundary-value problems for hyperbolic type equations in Hilbert spaces is given. Under a series of assumptions imposed on operators appearing in the equations and the boundary conditions, the well-posedness of the Cauchy problem is proved. An expansion of the solutions by means of eigenvectors is shown in special cases. A generalization of the Fourier method is given as an application.
reviewed by: Hana Petzeltová
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 5138396
zbMATH Keywords: hyperbolic-operator equations
zbMATH Keywords: well-posedness
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5138396