Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900246 | Journal of Mathematical Analysis and Applications | 2018 | 28 Pages |
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 Lâ 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yoshikazu Giga, Naoto Kajiwara,