Martedì 13 Settembre 2016, alle ore 15 precise, presso la sala conferenze
dell’IMATI-CNR di Pavia, il

Prof. Jürgen Sprekels (WIAS e Humboldt University, Berlino,

terrà un seminario dal titolo:

A NEW IDENTIFICATION PROBLEM: OPTIMIZING THE FRACTIONAL ORDER IN A
NONLOCAL EVOLUTION PROBLEM

nell'ambito del Seminario di Matematica Applicata (IMATI-CNR e
Dipartimento di Matematica, Pavia).

Al termine della conferenza sarà organizzato un piccolo rinfresco.


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Abstract.

In this lecture, we consider a rather general linear evolution
equation of fractional type, namely a diffusion type process in which
the diffusion operator is the s-th power of a positive definite linear
operator having a discrete spectrum of positive eigenvalues. We prove
existence, uniqueness and differentiablity properties with respect to
the fractional parameter s. These results are used to derive existence
as well as first-order necessary and second-order sufficient
optimality conditions for a minimization problem, which is inspired by
considerations in mathematical biology. In this minimization problem,
the fractional parameter s serves as the "control" parameter that
needs to be chosen in such a way that a suitable cost functional is
minimized.
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Pagina web del Seminario di Matematica Applicata:
http://matematica.unipv.it/it/seminari-matematica-applicata