Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation
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🧮 math.AP
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estimateequationobservationactingboundaryboundedcarleman-typecarlemen
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For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincar\'e-type estimate and an energy estimate with a single observation acting on a part of the boundary.
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