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Hokkaido University Preprint Series in Mathematics >
ON A RESOLVENT ESTIMATE FOR BIDOMAIN OPERATORS AND ITS APPLICATIONS
| Title: | ON A RESOLVENT ESTIMATE FOR BIDOMAIN OPERATORS AND ITS APPLICATIONS |
| Authors: | GIGA, YOSHIKAZU Browse this author | | KAJIWARA, NAOTO Browse this author |
| Issue Date: | 11-Oct-2016 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1096 |
| Start Page: | 1 |
| End Page: | 24 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69900 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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