REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES

Mikami, Toshio

doi:https://doi.org/10.18910/73630

REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES

Mikami, Toshio

Osaka Journal of Mathematics, 2019, 56(4), 831-842

アクセス数:220件（2025-07-11 23:35 集計）

固定URL: https://doi.org/10.18910/73630

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タイトル	REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES
著者	NRID 1000070229657 1000070229657 著者名 Mikami, Toshio
抄録	We show that the solution of Schrödinger’s functional equation is measurable in space, kernel and marginals. As an application, we show that the drift vector of the h-path process with given two end point marginals is a measurable function of space, time and marginal at each time. In particular, we show that the coefficients of mean field PDE systems which the marginals satisfy are measurable functions of space, time and marginal.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(4)
ページ	831-842
刊行年月	2019-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73630
DOI	https://doi.org/10.18910/73630
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 56, Number 4 （2019-10）

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. 2019, 56(4), p. 831-842
DC.title	REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES
DC.creator	Mikami, Toshio
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	2019-10
DCTERMS.abstract	We show that the solution of Schrödinger’s functional equation is measurable in space, kernel and marginals. As an application, we show that the drift vector of the h-path process with given two end point marginals is a measurable function of space, time and marginal at each time. In particular, we show that the coefficients of mean field PDE systems which the marginals satisfy are measurable functions of space, time and marginal.
DC.identifier	10.18910/73630
DC.format	73630
citation_title	REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES
citation_author	Mikami, Toshio
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	4
citation_firstpage	831
citation_lastpage	842
citation_public_url	https://hdl.handle.net/11094/73630
citation_doi_detail	10.18910/73630
citation_doi	https://doi.org/10.18910/73630

REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES

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