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arXiv · 1805.06813

Strong time-periodic solutions to the bidomain equations with arbitrary large forces

Yoshikazu Giga·Naoto Kajiwara·Klaus Kress
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Abstract

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 $L^2$ spaces. Our strategy is based on the weak-strong uniqueness method.

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Yoshikazu Giga, Naoto Kajiwara, Klaus Kress. 2018-05-17. Strong time-periodic solutions to the bidomain equations with arbitrary large forces. https://arxiv.org/abs/1805.06813

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