Logo Università degli Studi di Milano


Seminario / Garofalo

Il giorno 7 febbraio, alle ore 15.00, in Sala di Rappresentanza del Dipartimento di Matematica (Via Saldini 50),
Nicola Garofalo (Universita' di Padova) terra' un seminario dal titolo

``Space-time strong unique continuation for nonlocal parabolic equations"

e abstract

`` In two visionary papers in 1938 and 1949 Marcel Riesz introduced the fractional powers of the Laplacian in Euclidean and Lorentzian space, developed the calculus of these nonlocal operators and studied the Dirichlet and Cauchy problems for respectively the fractional Laplacian and the wave equation. He also mentioned, but did not include in his study, the fractional heat equation. These pseudo-differential operators play an important role in many branches of the applied sciences ranging from elasticity, to geophysical fluid dynamics and to quantum mechanics. But they also appear prominently in other branches of mathematics, such as e.g. geometry and financial mathematics.
In this talk I will present a new result on the strong unique continuation property, backward in time, for zero-order perturbations of the nonlocal heat equation: (D_t - \Delta)^{s} u = Vu for 0<s<1. This is joint work with Agnid Banerjee."

Tutti gli interessati sono invitati a partecipare.

25 gennaio 2018
Torna ad inizio pagina