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On rough differential equations

   
@article{EJP613,
	author = {Antoine Lejay},
	title = {On rough differential equations},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {},
	abstract = {We prove that the Itô map, that is the map that gives the solution of a differential  equation controlled by a rough path of finite $p$-variation with $p\in [2,3)$ is locally Lipschitz continuous in all its arguments and we give some sufficient conditions for global existence for non-bounded vector fields.},
	pages = {no. 12, 341-364},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-613},    
        url = {http://ejp.ejpecp.org/article/view/613}}