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 language | English (US) |
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Article number | 075010 |
Journal | Inverse Problems |
Volume | 30 |
Issue number | 7 |
DOIs | |
State | Published - Jul 1 2014 |
Keywords
- diffusion equation
- increasing stability
- inverse problems