Reflected rough differential equations via controlled paths

Abstract

In [1], we proved the existence of solutions to reflected rough differential equations based on an idea of Euler approximation of the solutions which is due to Davie [6]. In this paper, we prove the existence theorem under weaker assumptions than those in [1] by using the notion of Gubinelli's controlled path [14].

This paper has been withdrawn by the author because all contents are included in the new preprint arXiv:1608.03083