A spectral approach to ill-posed problems for wave equations
type: Item
instance of: scholarly article
title: A spectral approach to ill-posed problems for wave equations
zbMATH Open document ID: 1164.35053
author: Ciprian G. Gal
author: Nadia J. Gal
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2008-06-25T00:00:00Z
review text: The authors study the ill-posed problem \[ \begin{cases} u_{tt} + Au(t) = 0, \;t/in (0,T) \\ u(0) = 0, \;u(T) = u_{0},\end{cases} \] where \(A\) is a general selfadjoint operator in a Hilbert space. Under some constraints on \(T\), existence, uniqueness, continuous dependence on data and stability are established for a solution to this problem.
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 5292769
zbMATH Keywords: ill-posed problems
zbMATH Keywords: abstract wave equations
zbMATH Keywords: eigenpackets
zbMATH Keywords: spectral theory
reviewed by: Gheorghe Aniculăesei
MaRDI profile type: Publication
full work available at URL: s10231-007-0063-0
OpenAlex ID: W2153109107
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DOI: 10.1007/S10231-007-0063-0
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description: scientific article; zbMATH DE number 5292769