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.
Discrete approximation and regularisation for the inverse conductivity problem
On reconstruction in the inverse conductivity problem with one measurement
A numerical method for an inverse source problem for parabolic equations and its application to a coefficient inverse problem
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