Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation

Details Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation

2007-06-11

arxiv.org/abs/0706.1422v1

Mathematics

Analysis of PDEs

Scientific paper

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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