A Group-Theoretic Approach to Parameter Identifiability of PDE Systems

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Abstract

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.
Original languageEnglish
Pages (from-to)619-620
Number of pages2
JournalPAMM - Proceedings in Applied Mathematics and Mechanics
Volume10
Issue number1
DOIs
Publication statusPublished - Dec 2010

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