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

Nakaguchi, Etsushi; Osaki, Koichi

doi:https://doi.org/10.18910/67749

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

アクセス数:175件（2025-03-24 17:56 集計）

固定URL: https://doi.org/10.18910/67749

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タイトル	GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION
著者	NRID 1000070304011 1000070304011 ORCID 0000-0003-0004-4452 0000-0003-0004-4452 researchmap permalink e_nakaguti e_nakaguti 著者名 Nakaguchi, Etsushi
著者	NRID 1000040353320 1000040353320 著者名 Osaki, Koichi
内容	Dedicated to Professor Masayasu Mimura on the occasion of his 75th birthday.
抄録	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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	55(1)
ページ	51-70
刊行年月	2018-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67749
DOI	https://doi.org/10.18910/67749
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 55, Number 1 （2018-1）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2018, 55(1), p. 51-70
DC.title	GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION
DC.creator	Nakaguchi, Etsushi
DC.creator	Osaki, Koichi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2018-01
DC.description	Dedicated to Professor Masayasu Mimura on the occasion of his 75th birthday.
DCTERMS.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.
DC.identifier	10.18910/67749
DC.format	67749
citation_title	GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION
citation_author	Nakaguchi, Etsushi
citation_author	Osaki, Koichi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2018-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	55
citation_issue	1
citation_firstpage	51
citation_lastpage	70
citation_public_url	https://hdl.handle.net/11094/67749
citation_doi_detail	10.18910/67749
citation_doi	https://doi.org/10.18910/67749

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

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