Recovering a leading coefficient and a memory kernel in first-order integro-differential operator equations
Articolo
Data di Pubblicazione:
2003
Citazione:
Recovering a leading coefficient and a memory kernel in first-order integro-differential operator equations / A. Favaron, A. Lorenzi. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 283:2(2003), pp. 513-533.
Abstract:
We are concerned with the identification of the scalar functions a and k in the convolution first-order integro-differential equation u′(t)−a(t)Au(t)−k*Bu(t)=f(t), 0tT, k*v(t)=∫0tk(t−s)v(s) ds, in a Banach space X, where A and B are linear closed operators in X, A being the generator of an analytic semigroup of linear bounded operators. Taking advantage of two pieces of additional information, we can recover, under suitable assumptions and locally in time, both the unknown functions a and k. The results so obtained are applied to an n-dimensional integro-differential identification problem in a bounded domain in Rn.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Abstract linear first-order integro-differential equations; Existence and uniqueness results; Identification problems
Elenco autori:
A. Favaron, A. Lorenzi
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