GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION

Nakaguchi, Etsushi; Osaki, Koichi

Osaka Journal of Mathematics, 2018, 55(1), 51-70

Number of Access:454（2025-09-09 02:02 Counts）

Identifier to cite or link to this item: https://doi.org/10.18910/67749

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Title
GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION
Creator
NRID
1000070304011 1000070304011
ORCID
0000-0003-0004-4452 0000-0003-0004-4452
researchmap permalink
e_nakaguti e_nakaguti
CreatorName
Nakaguchi, Etsushi
NRID
1000040353320 1000040353320
CreatorName
Osaki, Koichi
Description
Dedicated to Professor Masayasu Mimura on the occasion of his 75th birthday.
Abstract
We study the global existence of solutions to an n-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence of solutions in Lₚ space (p > n) under certain relations between the degradation and production orders.
Publisher
Osaka University and Osaka City University, Departments of Mathematics
Source Title
Osaka Journal of Mathematics
Volume (Issue)
55(1)
Page
51-70
Date of Issued
2018-01
Language
English
Handle URL
https://hdl.handle.net/11094/67749
DOI
https://doi.org/10.18910/67749
PISSN
00306126
NCID
AA00765910
Access Rights
open access
oaire:version
Version of Record
Category
紀要論文 Departmental Bulletin Paper
Osaka Journal of Mathematics / Volume 55, Number 1 （2018-1）