Differential equations driven by H\"{o}lder continuous functions of   order greater than 1/2
  We derive estimates for the solutions to differential equations driven by a H\"older continuous function of order $\beta>1/2$. As an application we deduce the existence of moments for the solutions to stochastic partial differential equations driven by a fractional Brownian motion with Hurst parameter $H>{1/2}$. 
Yaozhong Hu David Nualart