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