An identification problem for a linear evolution equation in a Banach space and applications
Articolo
Data di Pubblicazione:
2011
Citazione:
An identification problem for a linear evolution equation in a Banach space and applications / A. Lorenzi, I.I. Vrabie. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 4:3(2011 Jun), pp. 671-691.
Abstract:
In this paper we prove both the existence and
uniqueness of a solution to an identification problem for a first
order linear differential equation in a general Banach space. Namely, we extend the explicit representation for the solution of
this problem previously obtained by Anikonov and Lorenzi to the case of an infinitesimal generator of an analytic C_0-semigroup of contractions to the general
nonanalytic case and also to the case of a restriction expressed in terms of an operator-valued measure. So, our abstract result handles both parabolic and hyperbolic equations and systems.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
C 0-semigroup of contractions; First-order linear differential equation; Heat equation; Identification problem; Representation formula; Unknown right-hand side; Wave equation
Elenco autori:
A. Lorenzi, I.I. Vrabie
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