Abstract
This paper deals with the identiflability problem of internal and boundary parameters of the system described by a linear l-dimensional parabolic partial differential equation. The parameters in the system equation or in the boundary condition are assumed to be unknown. For both cases of distributed and point-wise measurements, we obtained several results for the parameter identifiability. Some of the identifiability conditions depend on the profile of the state of the model for the case of the distributed measurement. While, for the case of the pointwise measurement, such conditions depend on the position of a detector and the form of initial or input functions to the system. The results are represented in terms of a priori known quantities only and are easily applied to practical problems.
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