Advances in Nonlinear Analysis (Aug 2019)

On the Sobolev space of functions with derivative of logarithmic order

  • Brué Elia,
  • Nguyen Quoc-Hung

DOI
https://doi.org/10.1515/anona-2020-0027
Journal volume & issue
Vol. 9, no. 1
pp. 836 – 849

Abstract

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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.

Keywords