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arxiv: 1501.02074 · v4 · pith:SEJ2NYVZnew · submitted 2015-01-09 · 🧮 math.AP · math.PR

Unbounded rough drivers

classification 🧮 math.AP math.PR
keywords equationslinearroughdrivenunboundedapplicationconsiderdifferential
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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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