We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependence of the inclusion from the Dirichlet-to- Neumann map. Under a priori regularity assumptions on the unknown defect we establish logarithmic stability estimates.
Stable determination of the discontinuous conductivity coefficient of a parabolic equation / M. Di Cristo; S. Vessella. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 42:(2010), pp. 183-217. [10.1137/090759719]
Stable determination of the discontinuous conductivity coefficient of a parabolic equation
VESSELLA, SERGIO
2010
Abstract
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependence 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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