A note on transport equation in quasiconformally invariant spaces-Reference-Cited by-同舟云学术

A note on transport equation in quasiconformally invariant spaces

Published:2018-04-01 Issue:2 Volume:11 Page:193-202
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
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Author:

Clop Albert¹,Jiang Renjin²,Mateu Joan¹,Orobitg Joan³

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Universitat Autònoma de Barcelona,08193Bellaterra, Barcelona, Catalonia, Spain

2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, 100875, Beijing, P. R. China; and Department of Mathematics, Faculty of Sciences, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

3. Department of Mathematics, Faculty of Sciences, Universitat Autònoma de Barcelona, 08193Bellaterra, Barcelona, Catalonia, Spain

Abstract

AbstractIn this note, we study the well-posedness of the Cauchy problem for the transport equation in the BMO space and certain Triebel–Lizorkin spaces.

Funder

Generalitat de Catalunya

National Natural Science Foundation of China

Ministerio de Economía y Competitividad

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2016-0003/pdf

Reference40 articles.

1. On the global well-posedness for Euler equations with unbounded vorticity;Dyn. Partial Differ. Equ.,2015