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Reconstruction of a conformally Euclidean metric from local boundary diffraction travel times
Maarten V. de Hoop, Sean F. Holman, Einar Iversen +2
We consider a region in with boundary and a metric on conformal to the Euclidean metric. We analyze the inverse problem, originally formulat…
Recovering the isometry type of a Riemannian manifold from local boundary diffraction travel times
Maarten V. de Hoop, Sean F. Holman, Einar Iversen +2
We analyze the inverse problem, originally formulated by Dix in geophysics, of reconstructing the wave speed inside a domain from boundary measurements associated with the single s…
Linearized inverse scattering based on seismic Reverse Time Migration
Tim J. P. M. Op 't Root, Christiaan C. Stolk, Maarten V. de Hoop
In this paper we study the linearized inverse problem associated with imaging of reflection seismic data. We introduce an inverse scattering transform derived from reverse-time mig…
Evolution systems for paraxial wave equations of Schroedinger-type with non-smooth coefficients
Maarten de Hoop, Guenther Hoermann, Michael Oberguggenberger
We prove existence of strongly continuous evolution systems in L^2 for Schroedinger-type equations with non-Lipschitz coefficients in the principal part. The underlying operator st…