Stability estimates in the inverse transmission scattering problem

Pages: 551 - 565, Volume 3, Issue 4, November 2009

doi:10.3934/ipi.2009.3.551       Abstract        Full Text (202.3K)       Related Articles

Michele Di Cristo - Politecnico di Milano, Dipartimento di Matematica, Italy (email)

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.

Keywords:  Inverse Transmission Problem, Stability, Fundamental Solutions.
Mathematics Subject Classification:  Primary: 35R30; Secondary: 35P25.

Received: October 2007;      Revised: December 2008;      Published: October 2009.