Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation

Details Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation

2009-04-02

arxiv.org/abs/0904.0296v2

Mathematics

Analysis of PDEs

36 pages

Scientific paper

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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