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arXiv · 1708.05304

Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities

Matthias Hieber·Naoto Kajiwara·Klaus Kress·Patrick Tolksdorf
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Abstract

Consider the bidomain equations subject to ionic transport described by the models of FitzHugh-Nagumo, Aliev-Panfilov, or Rogers-McCulloch. It is proved that this set of equations admits a unique, strong T-periodic solution provided it is innervated by T-periodic intra- and extracellular currents. The approach relies on a new periodic version of the classical Da Prato-Grisvard theorem on maximal L^p-regularity in real interpolation spaces.

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Matthias Hieber, Naoto Kajiwara, Klaus Kress, Patrick Tolksdorf. 2017-08-17. Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities. https://arxiv.org/abs/1708.05304

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