In this paper we determine, under a suitable additional information and in a framework of Gevrey-type functions with respect to the variable x1, the spatial part p(x1, x3) of the factorised kernel σ1 (x1, x3, t) = p (x1, x3)k(t) in the integrodifferential Maxwell system related to a spatial domain of the form Ω × R × R+, where Ω is an interval in R. In our context determining p means to show locally in space existence, uniqueness and continuous dependence of p on the data.
Gevrey-type results in the identification of the conductivity coefficient in Maxwell integrodifferential equations / A. Lorenzi, F. Messina. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 13:3-6(2005), pp. 441-478. [10.1163/156939405775297489]
Gevrey-type results in the identification of the conductivity coefficient in Maxwell integrodifferential equations
A. Lorenzi;F. Messina
2005
Abstract
In this paper we determine, under a suitable additional information and in a framework of Gevrey-type functions with respect to the variable x1, the spatial part p(x1, x3) of the factorised kernel σ1 (x1, x3, t) = p (x1, x3)k(t) in the integrodifferential Maxwell system related to a spatial domain of the form Ω × R × R+, where Ω is an interval in R. In our context determining p means to show locally in space existence, uniqueness and continuous dependence of p on the data.Pubblicazioni consigliate
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