Parameter Identification

  • Avner Friedman
  • David S. Ross
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 3)


The system (16.1) – (16.8) contains a number of unknowns: The development function, λ, and a number of diffusion coefficients and reaction rates. In this chapter we address the question of how to obtain diffusion and reaction rates experimentally.


Inverse Problem Direct Problem Regularity Result Central Layer Development Function 
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    A. Friedman and F. Reitich, Parameter identification in reaction-diffusion models, Inverse Problems, 8 (1992), 187–192.MathSciNetCrossRefGoogle Scholar
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    K. C. Ng and D. S. Ross, Parameter identification problems in photographic science, Proceedings of the conference “Inverse Problems and Optimal Design in Industry,” eds. H. W. Engl and J. McLaughlin pp. 67–80, B.G. Teubner, Stuttgart (1994).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Avner Friedman
    • 1
  • David S. Ross
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematics and StatisticsRochester Institute of TechnologyRochesterUSA

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