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Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain
-
V. G. Romanov
und
S. He
Veröffentlicht/Copyright:
7. September 2013
Abstract
- A mammography inverse problem for the diffusion equation in the frequency domain is considered. The extrapolated boundary condition is used in which the fluence is set to zero at an extrapolated boundary located a small distant away from (outside) the surface of the compressed breast. Uniqueness theorem is given for the linearized inverse problem of determining the diffusion and absorption coefficients from the reflection or transmission data at a single (non-zero) frequency.
Published Online: 2013-09-07
Published in Print: 2000-10
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Contents
- Unique determination of surface breaking cracks in three-dimensional bodies
- A two-surface problem for a biharmonic equation
- Boundary shape identification in two-dimensional electrostatic problems using SQUIDs
- An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators
- Numerical solution of the Cauchy problem in plane elastostatics
- Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain
- Remarks on modification of Helgason’s support theorem
Artikel in diesem Heft
- Contents
- Unique determination of surface breaking cracks in three-dimensional bodies
- A two-surface problem for a biharmonic equation
- Boundary shape identification in two-dimensional electrostatic problems using SQUIDs
- An identification problem related to a parabolic integrodifferential equation with non commuting spatial operators
- Numerical solution of the Cauchy problem in plane elastostatics
- Uniqueness theorems for a mammography inverse problem for the diffusion equation in the frequency domain
- Remarks on modification of Helgason’s support theorem
