Young equations with singularities

D. Addona, L. Lorenzi, G. Tessitore

In this paper we prove existence and uniqueness of a mild solution to the Young equation $dy(t)=Ay(t)dt+\sigma (y(t))dx(t)$, $t\in [0,T]$, $y(0)=\psi$. Here, $A$ is an unbounded operator whi…