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.
Author: | Karl Kunisch, Marcus Wagner |
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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 |