Higher-Order Paracontrolled Calculus for Geometric Rough Paths

Tim Van Hoose

We study the rough differential equation $$\frac{d{u}_t}{dt}=F(u_t){\zeta }_t,u(0)=u_0\in {\mathbb{R}}^d,$$ where $F:{\mathbb{R}}^d\to L({\mathbb{R}}^d,{\mathbb{R}}^d)$ is a suffici…