Increasing stability for the diffusion equation

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Abstract

We study the phenomenon of increasing stability of the diffusion and absorption coefficients in the diffusion equation. We derive some bounds which can be viewed as evidence of increasing stability when the frequency is growing. These bounds hold under a priori assumptions on the diffusion and absorption coefficients.

Original languageEnglish (US)
Article number075010
JournalInverse Problems
Volume30
Issue number7
DOIs
StatePublished - Jul 1 2014

Keywords

  • diffusion equation
  • increasing stability
  • inverse problems

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