Annuncio di seminario:
Giovedì 26 giugno alle ore 16.00 in Aula 2AB40 del Dipartimento di Matematica dell'Università di Padova il Prof. Carles Rovira dell'Universitat de Barcelona terrà il seminario
Titolo: Stochastic differential equations with non-negativity constraints driven by fractional Brownian
Abstract: In this talk, we deal with existence and uniqueness result of solution for stochastic differential driven by a fractional Brownian motion with Hurst parameter $H$ and with reflection. The cases $H >\frac12$ and $H \in (\frac13,\frac12)$ must be considered separately. When $H>\1/2$, we first study an ordinary integral equation where the integral is defined in the Young sense and then we apply this result pathwise to solve the stochastic problem. On the other hand, when H $\in (\frac13,\frac12)$, we consider an existence and uniqueness result of solution for multidimensional delay differential equations with normal reflection and driven by a H"older continuous function of order $\beta \in (\frac13,\frac12)$.
Marco Ferrante