Gutenberg Open Science: The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-5826

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DC Field	Value	Language
dc.contributor.author	Hieber, Matthias	-
dc.contributor.author	Kajiwara, Naoto	-
dc.contributor.author	Kress, Klaus	-
dc.contributor.author	Tolksdorf, Patrick	-
dc.date.accessioned	2021-05-07T07:24:28Z	-
dc.date.available	2021-05-07T07:24:28Z	-
dc.date.issued	2020	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/5835	-
dc.description.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.	en_GB
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-5826	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	Annali di matematica pura ed applicata	de
jgu.journal.volume	199	de
jgu.pages.start	2435	de
jgu.pages.end	2457	de
jgu.publisher.year	2020	-
jgu.publisher.name	Springer	de
jgu.publisher.place	Berlin u.a.	de
jgu.publisher.uri	https://doi.org/10.1007/s10231-020-00975-6	de
jgu.publisher.issn	1618-1891	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s10231-020-00975-6
jgu.organisation.ror	https://ror.org/023b0x485
Appears in collections:	JGU-Publikationen

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