Strong time-periodic solutions to the bidomain equations with arbitrary large forces
Analysis of PDEs
2018-05-18 v1
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 spaces. Our strategy is based on the weak-strong uniqueness method.
Keywords
Cite
@article{arxiv.1805.06813,
title = {Strong time-periodic solutions to the bidomain equations with arbitrary large forces},
author = {Yoshikazu Giga and Naoto Kajiwara and Klaus Kress},
journal= {arXiv preprint arXiv:1805.06813},
year = {2018}
}