Dottorato in Matematica 28° ciclo

SEMINARIO DI DOTTORATO

(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 Fisher KPP Equations.

Dipartimento di Matematica

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Relatore:

Andrea Pugliese