A Group‐Theoretic Approach to Parameter Identifiability of PDE Systems | Zendy

Rieger Karl | Zendy; Schlacher Kurt | Zendy

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A Group‐Theoretic Approach to Parameter Identifiability of PDE Systems

Author(s) -

Rieger Karl,

Schlacher Kurt

Publication year - 2010

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201010302

Subject(s) - identifiability , group (periodic table) , coordinate system , nonlinear system , mathematics , transformation (genetics) , boundary (topology) , boundary value problem , lie group , trajectory , mathematical optimization , mathematical analysis , pure mathematics , physics , geometry , statistics , chemistry , quantum mechanics , astronomy , biochemistry , gene

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 group generators, wherewith (local) conditions can be derived. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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