Karl Rieger, Kurt Schlacher,
"A Group-Theoretic Approach to Parameter Identifiability of PDE Systems"
, in PAMM - Proceedings in Applied Mathematics and Mechanics, Vol. 10, Nummer 1, Wiley, Seite(n) 619-620, 12-2010, ISSN: 1617-7061
Original Titel:
A Group-Theoretic Approach to Parameter Identifiability of PDE Systems
Sprache des Titels:
Englisch
Original Kurzfassung:
The contribution is devoted to the parameter identifiability problem
of (nonlinear) PDE systems. Especially, we discuss the (local)
identifiability of parameters along a trajectory. The analysis
relies on a coordinate-free formulation for systems, including
boundary conditions, and we motivate an approach by (Lie)
transformation groups, whose success for PDE systems depends on a
consequent extent to the accompanying boundary conditions. The
(non-)identifiability of parameters is related to the
(non-)existence of generators, wherewith (local) conditions can be
derived.
Sprache der Kurzfassung:
Englisch
Journal:
PAMM - Proceedings in Applied Mathematics and Mechanics
Forschungs-