On the Sobolev space of functions with derivative of logarithmic order-Reference-Cited by-同舟云学术

On the Sobolev space of functions with derivative of logarithmic order

Published:2019-08-20 Issue:1 Volume:9 Page:836-849
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Brué Elia¹,Nguyen Quoc-Hung¹

Affiliation:

1. Scuola Normale Superiore , Piazza dei Cavalieri 7, I-56100 , Pisa , Italy

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Reference20 articles.

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5. E. Brué and Q.H. Nguyen, Sharp regularity estimates for solutions of the continuity equation drifted by Sobolev vector fields, ArXiv : 1806.03466, submitted.

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