Data di Pubblicazione:
2008
Citazione:
Identifying a BV-kernel in an hyperbolic integrodifferential equation / A. Lorenzi, E. Sinestrari. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 21:4(2008), pp. 1109-1219. [10.3934/dcds.2008.21.1199]
Abstract:
This paper is devoted to determining the scalar relaxation kernel
a in a second-order (in time) integrodifferential equation related to a Banach
space when an additional measurement involving the state function is available.
A result concerning global existence and uniqueness is proved.
The novelty of this paper consists in looking for the kernel a in the Banach
space BV (0, T), consisting of functions of bounded variations, instead of the
space W1,1(0, T) used up to now to identify a.
An application is given, in the framework of L2-spaces, to the case of hyperbolic
second-order integrodifferential equations endowed with initial and
Dirichlet boundary conditions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
An existence and uniqueness result; Application to hyperbolic linear integro-differential equations; Recovering a scalar unknown convolution kernel; Second-order linear integro-differential equations
Elenco autori:
A. Lorenzi, E. Sinestrari
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