We consider a linear identification problem related to a first order integrodifferential equation in a Banach space. For such a problem we prove some existence, uniqueness and continuous dependence results in the large. Then we apply such results to the identification of a family of relaxation kernels in linear first-order symmetric systems related to either ${\mathbb{R}}^n$ or any (smooth) domain in ${\mathbb{R}}^n$. Particular attention is paid to the case of Maxwell systems
Guerra, G., Lorenzi, A. (1999). Identification problems for linear symmetric integrodifFerential systems. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 7(4), 299-327.
Identification problems for linear symmetric integrodifFerential systems
GUERRA, GRAZIANO;
1999
Abstract
We consider a linear identification problem related to a first order integrodifferential equation in a Banach space. For such a problem we prove some existence, uniqueness and continuous dependence results in the large. Then we apply such results to the identification of a family of relaxation kernels in linear first-order symmetric systems related to either ${\mathbb{R}}^n$ or any (smooth) domain in ${\mathbb{R}}^n$. Particular attention is paid to the case of Maxwell systems
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