  We consider a stochastic Camassa-Holm equation driven by a one-dimensional
Wiener process with a first order differential operator as diffusion
coefficient. We prove the existence and uniqueness of local strong solutions of
this equation. In order to do so, we transform it into a random quasi-linear
partial differential equation and apply Kato's operator theory methods. Some of
the results have potential to find applications to other nonlinear stochastic
partial differential equations.
