ON A RESOLVENT ESTIMATE FOR BIDOMAIN OPERATORS AND ITS APPLICATIONS

GIGA, YOSHIKAZU; KAJIWARA, NAOTO

Hokkaido University Preprint Series in Mathematics, 2016, 1096, 1-24

Permalink : https://doi.org/10.14943/84240

このアイテムのアクセス数:816件（2026-08-17 02:35 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re1096	pdf	175 KB	543

アクセス権	open access
DOI	https://doi.org/10.14943/84240
URI	https://hdl.handle.net/2115/69900
タイトル	ON A RESOLVENT ESTIMATE FOR BIDOMAIN OPERATORS AND ITS APPLICATIONS
著者	著者名 GIGA, YOSHIKAZU
著者	著者名 KAJIWARA, NAOTO
言語	英語
発行日	2016-10-11
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1096
ページ	1-24
抄録	We study bidomain equations that are commonly used as a model to represent the electrophysiological wave propagation in the heart. We prove existence, uniqueness and regularity of a strong solution in Lp spaces. For this purpose we derive an L1 resolvent estimate for the bidomain operator by using a contradiction argument based on a blow-up argument. Interpolating with the standard L2-theory, we conclude that bidomain operators generate C0-analytic semigroups in Lp spaces, which leads to construct a strong solution to a bidomain equation in Lp spaces.
資源タイプ	紀要論文
出版タイプ	Version of Record