STRONG TIME-PERIODIC SOLUTIONS TO THE BIDOMAIN EQUATIONS WITH ARBITRARY LARGE FORCES

GIGA, YOSHIKAZU; NAOTO, KAJIWARA; KRESS, KLAUS

Hokkaido University Preprint Series in Mathematics, 2018, 1114, 1-15

Permalink : https://doi.org/10.14943/85519

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アクセス権	open access
DOI	https://doi.org/10.14943/85519
URI	https://hdl.handle.net/2115/71354
タイトル	STRONG TIME-PERIODIC SOLUTIONS TO THE BIDOMAIN EQUATIONS WITH ARBITRARY LARGE FORCES
著者	GIGA, YOSHIKAZU ; NAOTO, KAJIWARA ; KRESS, KLAUS
著者名 GIGA, YOSHIKAZU
著者名 NAOTO, KAJIWARA
著者名 KRESS, KLAUS
言語	英語
発行日	2018-08-24
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1114
ページ	1-15
抄録	We prove the existence of strong time-periodic solutions to the bidomain equations with arbitrary large forces. We construct weak time-periodic solutions by a Galerkin method combined with Brouwer’s ﬁxed point theorem and a priori estimate independent of approximation. We then show their regularity so that our solution is a strong time-periodic solution in L2 spaces. Our strategy is based on the weak-strong uniqueness method.
資源タイプ	紀要論文
出版タイプ	Version of Record