Authors:	Hieber, Matthias Kajiwara, Naoto Kress, Klaus Tolksdorf, Patrick
Title:	The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport
Online publication date:	7-May-2021
Year of first publication:	2020
Language:	english
Abstract:	In this article, the periodic version of the classical Da Prato–Grisvard theorem on maximal Lp-regularity in real interpolation spaces is developed, as well as its extension to semilinear evolution equations. Applying this technique to 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 in a neighborhood of stable equilibrium points provided it is innervated by T-periodic forces.
DDC:	510 Mathematik 510 Mathematics
Institution:	Johannes Gutenberg-Universität Mainz
Department:	FB 08 Physik, Mathematik u. Informatik
Place:	Mainz
ROR:	https://ror.org/023b0x485
DOI:	http://doi.org/10.25358/openscience-5826
Version:	Published version
Publication type:	Zeitschriftenaufsatz
License:	CC BY
Information on rights of use:	https://creativecommons.org/licenses/by/4.0/
Journal:	Annali di matematica pura ed applicata 199
Pages or article number:	2435 2457
Publisher:	Springer
Publisher place:	Berlin u.a.
Issue date:	2020
ISSN:	1618-1891
Publisher URL:	https://doi.org/10.1007/s10231-020-00975-6
Publisher DOI:	10.1007/s10231-020-00975-6
Appears in collections:	JGU-Publikationen