English

On the Sobolev space of functions with derivative of logarithmic order

Classical Analysis and ODEs 2018-07-10 v1 Analysis of PDEs

Abstract

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

Cite

@article{arxiv.1807.03262,
  title  = {On the Sobolev space of functions with derivative of logarithmic order},
  author = {Elia Bruè and Quoc-Hung Nguyen},
  journal= {arXiv preprint arXiv:1807.03262},
  year   = {2018}
}

Comments

15 pages