One-dimensional reflected rough differential equations
classification
🧮 math.PR
keywords
roughdifferentialone-dimensionalreflectedarxivcontroldealdealing
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We prove existence and uniqueness of the solution of a one-dimensional rough differential equation driven by a step-2 rough path and reflected at zero. In order to deal with the lack of control of the reflection measure the proof uses some ideas we introduced in a previous work dealing with rough kinetic PDEs [arXiv:1604.00437].
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