The Keller-Segel system of parabolic-parabolic type in Morrey space
type: Item
instance of: scholarly article
title: The Keller-Segel system of parabolic-parabolic type in Morrey space
zbMATH Open document ID: 1402.35288
author: Fumitaka Wakabayashi
published in: Journal of Differential Equations
publication date: 2018-09-06T00:00:00Z
review text: The existence of local-in-time and global solutions of the Keller-Segel system of chemotaxis in the whole space \(\mathbb R^n\) with the initial conditions in Morrey spaces is studied. The method of successive approximations, based on the estimation of the heat semigroup in the Morrey space and on the fractional power of the Laplace operator, is applied. Some of these results extend those in [\textit{P. G. Lemarié-Rieusset}, Adv. Differ. Equ. 18, No. 11--12, 1189--1208 (2013; Zbl 1284.35226)].
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92C17
Mathematics Subject Classification ID: 35K45
Mathematics Subject Classification ID: 35K58
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 6933426
zbMATH Keywords: local solutions
zbMATH Keywords: global solutions
zbMATH Keywords: estimation of heat semigroup
MaRDI profile type: Publication
full work available at URL: j.jde.2018.06.017
OpenAlex ID: W2808606375
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Wikidata QID: Q129687402
DOI: 10.1016/J.JDE.2018.06.017
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description: scientific article; zbMATH DE number 6933426