Bounded \(H^\infty\)-calculus for a class of nonlocal operators: the bidomain operator in the \(L_q\)-setting

DOI10.1007/s00208-019-01916-2zbMath1450.35152OpenAlexW2980027532MaRDI QIDQ2205567

Jan W. Prüss, Matthias Hieber

Publication date: 20 October 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-019-01916-2

zbMATH Keywords

sectorial operatoranalytic semigroupfractional power domainsmaximal \(L_p - L_q\)-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Abstract parabolic equations (35K90) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) One-parameter semigroups and linear evolution equations (47D06) Physiological flow (92C35)

Related Items (4)

Global Strong Well-Posedness of the Stochastic Bidomain Equations with FitzHugh–Nagumo Transport ⋮ Linear and quasilinear evolution equations in the context of weighted \(L_p\)-spaces ⋮ The periodic version of the Da Prato-Grisvard theorem and applications to the bidomain equations with FitzHugh-Nagumo transport ⋮ Design of the monodomain model by artificial neural networks

Cites Work

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• Multiscale Modeling for the Bioelectric Activity of the Heart
• The \(H^\infty\)-calculus and sums of closed operators

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