Geodesic
Lamb's inverse axially symmetric problem
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 51-67 
A. S. Blagoveshchenskii. Lamb's inverse axially symmetric problem. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 22, Tome 203 (1992), pp. 51-67. http://geodesic.mathdoc.fr/item/ZNSL_1992_203_a4/
@article{ZNSL_1992_203_a4,
     author = {A. S. Blagoveshchenskii},
     title = {Lamb's inverse axially symmetric problem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {51--67},
     year = {1992},
     volume = {203},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1992_203_a4/}
}
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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.