Recovering Asymptotics at Infinity of Perturbations of Stratified Media
Journées équations aux dérivées partielles (2000), article no. 2, 9 p.

We consider perturbations of a stratified medium ℝ x n-1 ×ℝ y , where the operator studied is c 2 (x,y)Δ. The function c is a perturbation of c 0 (y), which is constant for sufficiently large |y| and satisfies some other conditions. Under certain restrictions on the perturbation c, we give results on the Fourier integral operator structure of the scattering matrix. Moreover, we show that we can recover the asymptotic expansion at infinity of c from knowledge of c 0 and the singularities of the scattering matrix at fixed energy.

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     title = {Recovering {Asymptotics} at {Infinity} of {Perturbations} of {Stratified} {Media}},
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Christiansen, Tanya; Joshi, Mark S. Recovering Asymptotics at Infinity of Perturbations of Stratified Media. Journées équations aux dérivées partielles (2000), article  no. 2, 9 p. http://www.numdam.org/item/JEDP_2000____A2_0/

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