Titelaufnahme

Titel
Optimal control of the bidomain system (I): The monodomain approximation with the Rogers-McCulloch model
Verfasser/ VerfasserinKunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen ; Wagner, Marcus In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
Nonlinear Analysis: Real World Applications, Amsterdam [u.a.], 2011, Jg. 13, H. 4, S. 1525-1550
ErschienenElsevier
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)PDE constrained optimization / Monodomain equations / RogersMcCulloch model / Uniqueness theorem / Weak local minimizer / Existence theorem / Necessary optimality conditions
URNurn:nbn:at:at-ubg:3-623 Persistent Identifier (URN)
DOIdoi:10.1016/j.nonrwa.2011.11.003 
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Optimal control of the bidomain system (I): The monodomain approximation with the Rogers-McCulloch model [1.78 mb]
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Zusammenfassung (Englisch)

For the monodomain approximation of the bidomain equations, a weak solution concept is proposed. We analyze it for the FitzHughNagumo and the RogersMcCulloch ionic models, obtaining existence and uniqueness theorems. Subsequently, we investigate optimal control problems subject to the monodomain equations. After proving the existence of global minimizers, the system of the first-order necessary optimality conditions is rigorously characterized. For the adjoint system, we prove an existence and regularity theorem as well.

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