Olivier Poisson

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We consider the heat equation ∂ty − div(c∇y) = H with a discontinuous coefficient in three connected situations. We give uniqueness and stability results for the diffusion coefficient c(·) in the main case from measurements of the solution on an arbitrary part of the boundary and at a fixed time in the whole spatial domain. The diffusion coefficient is(More)
This work deals with an inverse boundary value problem arising from the equation of heat conduction. Mathematical theory and algorithm is described in dimensions 1–3 for probing the discontinuous part of the conductivity from local temperature and heat flow measurements at the boundary. The approach is based on the use of complex spherical waves, and no(More)
An inverse boundary value problem for the heat equation is considered on the interval (0, 1), where the heat conductivity γ(t, x) is piecewise constant and the point of discontinuity depends on time: γ(t, x) = k2 for 0 < x < s(t) and γ(t, x) = 1 for s(t) < x < 1. It is shown that k and s(t) on the time interval [0, T ] are determined from the partial(More)
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