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Alessio Marinelli

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Dottorato in Matematica
28° ciclo
SEMINARIO DI DOTTORATO
Martedì 30 settembre 2014 ore 15.00
(Aula Seminari di Matematica)
Alessio Marinelli
Some results on differential nonlocal elliptic and
parabolic equations
Abstract
We present a semilinear elliptic problem driven by the general fractional powers
of the negative Laplacian in presence of a generic logistic function having an
indefinite weight. In particular we look for the existence and non existence of
solutions for the associated Dirichlet problem.
In the second part of the talk we start from the classical parabolic result of
D.G.Aronson and H.F.Weinberger to present the recent works of H.Berestycki,
X.Cabré and J.M.Roquejoffre on the influence of Fractional Diffusion in FisherKPP Equations.
Relatore:
Andrea Pugliese
Dipartimento di Matematica
Via Sommarive, 14
38123 Povo (TN), Italy
Tel. +39 0461 281625
Fax +39 0461 281624
mail: [email protected]
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