Optimal control of the bidomain system (II): uniqueness and regularity theorems for weak solutions

  • Motivated by the study of related optimal control problems, weak and strong solution concepts for the bidomain system together with two-variable ionic models are analyzed. A key ingredient for the analysis is the bidomain bilinear form. Global existence of weak and strong solutions as well as stability and uniqueness theorems is proven.

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Metadaten
Author: Karl Kunisch, Marcus Wagner
DOI:https://doi.org/10.1007/s10231-012-0254-1
ISSN:0373-3114
ISSN:1618-1891
Title of the source (Italian):Annali di Matematica Pura ed Applicata
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2013
Tag:Bidomain equations; Weak solution
Volume/Year:192
Issue number:6
First Page:951
Last Page:986
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Mathematik insbesondere Optimierung
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