Uniqueness for an Elliptic Inverse Problem

@article{Knowles1999UniquenessFA,
  title={Uniqueness for an Elliptic Inverse Problem},
  author={Ian Knowles},
  journal={SIAM Journal of Applied Mathematics},
  year={1999},
  volume={59},
  pages={1356-1370}
}
For the elliptic equation −∇ · (p(x)∇v) + λq(x)v = f, x ∈ Ω ⊂ R, the problem of determining when one or more of the coefficient functions p, q, and f are defined uniquely by a knowledge of one or more of the solution functions v = vp,q,f,λ is considered. 

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References

Publications referenced by this paper.
Showing 1-10 of 20 references

Parameter identification for elliptic problems

  • I. Knowles
  • PREPRINT
  • 1998
1 Excerpt

Identification of the coefficient in elliptic equations

  • R. Acar
  • SIAM J. Control Optim., 31
  • 1993
1 Excerpt

Regression modeling of groundwater flow

  • R. L. Cooley, R. L. Naff
  • Techniques of Water-Resources Investigations, 03…
  • 1990
1 Excerpt

A practical account of instabilities in identification problems in groundwater systems

  • C. R. Dietrich, G. N. Newsam, R. S. Anderssen, F. Ghassemi, A. J. Jakeman
  • BMR J. Australian Geol. Geophy., 11
  • 1989
1 Excerpt

Geophysical Data Analysis: Discrete Inverse Theory

  • W. Menke
  • Academic Press, New York
  • 1989
1 Excerpt

Mapping recharge areas using a ground-water flow model—a case study

  • M. W. Stoertz, K. R. Bradbury
  • Ground Water, 27
  • 1989
1 Excerpt

Consequences of Spatial Variability in Aquifer Properties and Data Limitations for Groundwater Modeling Practice

  • A. Peck, S. M. Gorelick, G. De Marsily, S. Foster, V. Kovalevsky
  • Publication 175, International Association of…
  • 1988
1 Excerpt

State of the art of the inverse problem applied to the flow and solute equations

  • J. Carrera
  • Groundwater Flow and Quality Modeling, E…
  • 1988
1 Excerpt

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