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Lamb's inverse axially symmetric problem

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Abstract

The problem of restoring the velocity of transversal waves in an elastic half-space by a known wave field on the boundary of a medium is studied. The problem is reduced to a system of “integral” equations similar to the Volterra one. Theorems on existence in the small and on uniqueness of the solution are proved. Bibliography: 5 titles.

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Literature Cited

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Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 203, 1992, pp. 51–67.

Translated by T. N. Surkova.

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Blagoveshchenskii, A.S. Lamb's inverse axially symmetric problem. J Math Sci 79, 1191–1202 (1996). https://doi.org/10.1007/BF02362884

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  • DOI: https://doi.org/10.1007/BF02362884

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