First-order inverse evolution equations
type: Item
instance of: scholarly article
title: First-order inverse evolution equations
zbMATH Open document ID: 1343.34048
author: Mohammed Al Horani
author: Angelo Favini
published in: Evolution Equations and Control Theory
publication date: 2014-12-05T00:00:00Z
review text: Consider the evolution problem \[ u^{\prime }(t)-Au(t)=f(t)z, u(0)=u_{0}, \] where \(A\) and \(z\) are given. The inverse problem is to identify the control \(f(t)\) from an observation \(\Phi \left( u\right) =g(t)\), where \(\Phi \) is a certain functional.
reviewed by: Amin Boumenir
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 6377003
zbMATH Keywords: inverse problem
zbMATH Keywords: first-order problem
zbMATH Keywords: \(C_{0}\) semigroup
zbMATH Keywords: analytic semigroup
MaRDI profile type: Publication
full work available at URL: eect.2014.3.355
OpenAlex ID: W2314358613
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DOI: 10.3934/EECT.2014.3.355
description: scientific article; zbMATH DE number 6377003