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arxiv: 1807.03262 · v1 · pith:K2MCIUKPnew · submitted 2018-07-09 · 🧮 math.CA · math.AP

On the Sobolev space of functions with derivative of logarithmic order

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keywords derivativelogarithmicorderassociatedbeencomecontinuitydifferentiable
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Two notions of "having a derivative of logarithmic order" have been studied. They come from the study of regularity of flows and renormalized solutions for the transport and continuity equation associated to weakly differentiable drifts.

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