Unbounded rough drivers

2015/01/09 by Ismaël Bailleul, Bailleul, I., Massimiliano Gubinelli +1
Computer Science · #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.1501.02074

Abstract

We propose a theory of linear differential equations driven by unbounded operator-valued rough signals. As an application we consider rough linear transport equations and more general linear hyperbolic symmetric systems of equations driven by time-dependent vector fields which are only distributions in the time direction.

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