Iterative reconstruction of the wavespeed for the wave equation with bounded frequency boundary data

Abstract

We study the inverse boundary value problem for the wave equation using the single-layer potential operator as the data. We assume that the data have frequency content in a bounded interval. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for application of steepest descent and Newton-type iterative methods.

20 pages, 1 figure

References in corpus (1)

• New global stability estimates for the Gel'fand-Calderon inverse problem

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• Exponential lower resolvent bounds far away from trapped sets