Geodesic
Reconstruction of pressure and shear velocities and boundaries of thin layers in a~thinly stratified layer
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 1, pp. 67-82

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In this paper, a result of reconstruction of velocities of elastic waves and boundaries of thin layers in a thinly stratified layer is presented. For this purpose, the method of residual functional minimization was used. Differentiation of the residual functional with respect to coordinates of gap points of a medium was proved and the appropriate derivative was obtained. 
@article{SJVM_2012_15_1_a5,
     author = {A. L. Karchevsky},
     title = {Reconstruction of pressure and shear velocities and boundaries of thin layers in a~thinly stratified layer},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {67--82},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2012_15_1_a5/}
}
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A. L. Karchevsky. Reconstruction of pressure and shear velocities and boundaries of thin layers in a~thinly stratified layer. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 15 (2012) no. 1, pp. 67-82. http://geodesic.mathdoc.fr/item/SJVM_2012_15_1_a5/