Stability estimates in the inverse transmission scattering problem

Michele Di Cristo

doi:10.3934/ipi.2009.3.551

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2009, Volume 3, Issue 4: 551-565. Doi: 10.3934/ipi.2009.3.551

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Stability estimates in the inverse transmission scattering problem

Michele Di Cristo^1,

1.
Politecnico di Milano, Dipartimento di Matematica

Received: September 30, 2007

Revised: November 30, 2008

Published: October 2009

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Abstract

We consider the inverse transmission scattering problem with piecewise constant refractive index. Under mild a priori assumptions on the obstacle we establish logarithmic stability estimates.

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Mathematics Subject Classification: Primary: 35R30; Secondary: 35P25.

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