Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
classification
🧮 math.AP
keywords
inclusionassumptionscoefficientconductivityconductorcontinuousdealdefect
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We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to-Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.
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