# One-dimensional reflected rough differential equations

@article{Deya2016OnedimensionalRR,
title={One-dimensional reflected rough differential equations},
author={Aur'elien Deya and Massimiliano Gubinelli and Martina Hofmanov{\'a} and Samy Tindel},
journal={Stochastic Processes and their Applications},
year={2016}
}
• Published 24 October 2016
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In this article, we illustrate the flexibility of the algebraic integration formalism introduced in M. Gubinelli, J. Funct. Anal. 216 , 86-140, 2004, Math. Review 2005k:60169 , by establishing an
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The strong convergence of Wong-Zakai approximations of the solution to the reflecting stochastic differential equations was studied in [2]. We continue the study and prove the strong convergence
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We introduce an approach to study certain singular partial differential equations (PDEs) which is based on techniques from paradifferential calculus and on ideas from the theory of controlled rough
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Abstract This paper revisits the concept of rough paths of inhomogeneous degree of smoothness (geometric Π-rough paths in our terminology) sketched by Lyons in 1998. Although geometric Π-rough paths