Journal of Inverse and Ill-posed Problems
Editor-in-Chief: Kabanikhin, Sergey I.
6 Issues per year
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Identification problems for nonclassical integro-differential parabolic equations
- Sobolev Institute of Mathematics, Acad. Koptyug prosp., 4, 630090, Novosibirsk, Russia. E-mail: firstname.lastname@example.org
- Department of Mathematics "F. Enriques", Università degli Studi di Milano, via Saldini 50, 20133, Milano, Italy. E-mail: Alfredo.Lorenzi@mat.unimi.it
In this paper we identify a convolution kernel k — i.e. we prove existence and uniqueness of k — in a first-order singular integrodifferential operator equation of Volterra type in two overdetermined problems in the framework of Hilbert spaces. We stress that in the first problem, by virtue of specific nonlocal time conditions, the kernel can be recovered globally in time, while in the latter only locally in time because of conditions that are of time-periodic type.