Title:A Group-Theoretic Approach to Parameter Identifiability of PDE SystemsAuthor(s):Karl Rieger, Kurt SchlacherAbstract: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.Booktitle:Proceedings in Applied Mathematics and Mechanics (PAMM)Publisher:WileyISSN:1617-7061Page Reference:page 619-620, 2 page(s)Publishing:12/2010Volume:10Number:1