Tuesday, 13 September 2016, 3 p.m. (sharp), Prof. Jürgen Sprekels (WIAS e Humboldt University, Berlino), at the conference room of IMATI-CNR in Pavia, will give a lecture titled:

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

as part of the Applied Mathematics Seminar (IMATI-CNR e Dipartimento di Matematica, Pavia).
At the end a refreshment will be organized.

______________________

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.
______________________

Pagina web del Seminario di Matematica Applicata:
http://matematica.unipv.it/it/seminari-matematica-applicata