Increasing stability in an inverse problem for the acoustic equation

@inproceedings{Nagayasu2011IncreasingSI,
  title={Increasing stability in an inverse problem for the acoustic equation},
  author={Sei Nagayasu and Gunther Uhlmann and Jenn-Nan Wang},
  year={2011}
}
In this work we study the inverse boundary value problem of determining the refractive index in the acoustic equation. It is known that this inverse problem is ill-posed. Nonetheless, we show that the ill-posedness decreases when we increase the frequency and the stability estimate changes from logarithmic type for low frequencies to a Lipschitz estimate for large frequencies. 

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References

Publications referenced by this paper.
Showing 1-10 of 13 references

Increasing stability for the Schrödinger potential from the Dirichlet-to-Neumann

  • V. Isakov
  • map, DCDS-S,
  • 2011
2 Excerpts

On increased stability in the continuation of the Helmholtz equation

  • D. A. Subbarayappa, V. Isakov
  • Inverse Problems,
  • 2007
1 Excerpt

Stable determination of the hyperbolic Dirichlet-to-Neumann map for generic simple metrics

  • P. Stefanov, G. Uhlmann
  • International Math Research Notices (IMRN),
  • 2005
1 Excerpt

The linear sampling method in inverse electromagnetic scattering theory

  • D. Colton, H. Haddar, M. Piana
  • Inverse Problems,
  • 2003
1 Excerpt

Decay of the local energy of the wave equation for the exterior problem and absence of resonance near the real axis

  • N. Burg
  • Acta Math.,
  • 1998
1 Excerpt

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