Inverse Resonance Problem for Love Seismic Surface Waves

Sottile, Samuele (författare): Malmö universitet,Institutionen för materialvetenskap och tillämpad matematik (MTM),Centre for Mathematical Science, Faculty of Natural Science, Lund University, SE-221 00 Lund, Sweden

(creator_code:org_t)

Society for Industrial and Applied Mathematics, 2024
2024
Engelska.
Ingår i: SIAM Journal on Applied Mathematics. - : Society for Industrial and Applied Mathematics. - 0036-1399 .- 1095-712X. ; 84:4, s. 1288-1311

Relaterad länk:: https://urn.kb.se/re...; visa fler...; https://doi.org/10.1...; visa färre...

Abstract Ämnesord

Stäng

In this paper, we solve an inverse resonance problem for the half-solid with vanishing stresses on the surface: Lamb’s problem. Using a semiclassical approach, we are able to simplify this three-dimensional problem of the elastic wave equation for the half-solid as a Schrödinger equation with Robin boundary conditions on the half-line. We obtain asymptotic values on the number and the location of the resonances with respect to the wave number. Moreover, we prove that the mapping from real compactly supported potentials to the Jost functions in a suitable class of entire functions is one-to-one and onto and we produce an algorithm in order to retrieve the shear modulus from the eigenvalues and resonances.

Om ämnet

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