Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation

Michele Di Cristo () and Sergio Vessella ()
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Michele Di Cristo: Politecnico di Milano, Italy
Sergio Vessella: Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze

No 2009-08, Working Papers - Mathematical Economics from Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa

Abstract: 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.

Keywords: inverse problems; stability; parabolic equations; unique continuation (search for similar items in EconPapers)
Pages: 37
Date: 2009-11
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Persistent link: https://EconPapers.repec.org/RePEc:flo:wpaper:2009-08

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