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

Mikami, Toshio

doi:info:doi/10.18910/73630

このアイテムのアクセス数:10件（2020-11-28 14:52 集計）

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タイトル	REGULARITY OF SCHRÖDINGER’S FUNCTIONAL EQUATION AND MEAN FIELD PDES FOR H-PATH PROCESSES
著者	Mikami, Toshio 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	56
号	4
開始ページ	831
終了ページ	842
刊行年月	2019-10
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/73630
言語	英語
DOI	info:doi/10.18910/73630
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）

著者版フラグ	publisher
NII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.56(4) P.831-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2019-10
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/73630
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	info:doi/10.18910/73630
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/73630
citation_doi	info:doi/10.18910/73630

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