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- W2531142645 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 $L^p$ spaces. For this purpose we derive an $L^infty$ resolvent estimate for the bidomain operator by using a contradiction argument based on a blow-up argument. Interpolating with the standard $L^2$-theory, we conclude that bidomain operators generate $C_0$-analytic semigroups in $L^p$ spaces, which leads to construct a strong solution to a bidomain equation in $L^p$ spaces." @default.
- W2531142645 created "2016-10-21" @default.
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- W2531142645 date "2016-10-06" @default.
- W2531142645 modified "2023-10-17" @default.
- W2531142645 title "On a resolvent estimate for bidomain operators and its applications" @default.
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- W2531142645 doi "https://doi.org/10.48550/arxiv.1610.02120" @default.
- W2531142645 hasPublicationYear "2016" @default.
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