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Recovery of discontinuities in a non-homogeneous medium

Recovery of discontinuities in a non-homogeneous medium

The recovery of the coefficient H(x) in the one-dimensional generalized Schrödinger equation , where H(x) is a positive, piecewise continuous function with positive limits as , is studied. This equation describes the wave propagation in a one-dimensional non-homogeneous medium in which the wavespeed 1/H(x) changes abruptly at a finite number …