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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

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Volume 23, Issue 6


Finding scattering data for a time-harmonic wave equation with first order perturbation from the Dirichlet-to-Neumann map

Alexey D. Agaltsov
  • Centre de Mathématiques Appliquées, Ecole Polytechnique, Route de Saclay, 91128 Palaiseau Cedex, France; and Lomonosov Moscow State University, GSP-1, Leninskie Gory, 119991 Moscow, Russia
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Published Online: 2015-05-21 | DOI: https://doi.org/10.1515/jiip-2015-0014


We present formulas and equations for finding scattering data from the Dirichlet-to-Neumann map for a time-harmonic wave equation with first order perturbation with compactly supported coefficients. We assume that the coefficients are matrix-valued in general. To our knowledge, these results are new even for the general scalar case.

Keywords: Inverse boundary value problems; inverse scattering; time-harmonic wave equation; Yang–Mills potentials

MSC: 35R30; 35Q35; 35Q40

About the article

Received: 2015-01-27

Revised: 2015-02-10

Accepted: 2015-03-04

Published Online: 2015-05-21

Published in Print: 2015-12-01

Citation Information: Journal of Inverse and Ill-posed Problems, Volume 23, Issue 6, Pages 627–645, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip-2015-0014.

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