Construction of solutions of the critical SQG equation in bounded domains
type: Item
instance of: scholarly article
title: Construction of solutions of the critical SQG equation in bounded domains
zbMATH Open document ID: 1421.35276
author: Mihaela Ignatova
published in: Advances in Mathematics
publication date: 2019-07-10T00:00:00Z
review text: This is a very nice paper which constructs global interior Lipschitz solutions for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. Prior to this work, only a priori interior Hölder continuity was known [\textit{P. Constantin} and the author, Ann. PDE 2, No. 2, Paper No. 8, 42 p. (2016; Zbl 1397.35202)].
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q86
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 76B03
zbMATH DE Number: 7078829
zbMATH Keywords: SQG
zbMATH Keywords: global regularity
zbMATH Keywords: nonlinear maximum principle
zbMATH Keywords: bounded domains
reviewed by: Theodore D. Drivas
MaRDI profile type: Publication
full work available at URL: j.aim.2019.05.034
OpenAlex ID: W2947109817
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Wikidata QID: Q127761554
DOI: 10.1016/J.AIM.2019.05.034
description: scientific article; zbMATH DE number 7078829