Regularity results for non-linear Young equations and applications

Davide Addona, Luca Lorenzi, Gianmario Tessitore

In this paper we provide sufficient conditions which ensure that the non-linear equation $dy(t)=Ay(t)dt+\sigma (y(t))dx(t)$, $t\in (0,T]$, with $y(0)=\psi$ and $A$ being an unbounded operato…