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Remarks on parameter identification. I

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Summary

In this paper a method for constructing a spatially varying diffusion coefficient for a parabolic, partial differential equation is given. This function is obtained as the limit of a sequence of functions which are obtained by solving a sequence of finite dimensional optimization problems.

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References

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Authors and Affiliations

  1. Department of Mathematics, Oregon State University, Corvallis, OR, USA

    Ronald Guenther

  2. Department of Civil Engineering, Oregon State University, Corvallis, OR, USA

    Robert Hudspeth & William McDougal

  3. Department of Mathematics, University of Missouri, Columbia, MO, USA

    Jürgen Gerlach

Authors
  1. Ronald Guenther
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  2. Robert Hudspeth
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  3. William McDougal
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  4. Jürgen Gerlach
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Additional information

Dedicated to Professor Lothar Collatz on the occasion of his 75th birthday

Supported in part by a grant from NORCUS with funds provided by the Department of Energy as part of the Basalt Waste Isolation Project

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Guenther, R., Hudspeth, R., McDougal, W. et al. Remarks on parameter identification. I. Numer. Math. 47, 355–361 (1985). https://doi.org/10.1007/BF01389584

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  • DOI: https://doi.org/10.1007/BF01389584

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