Geodesic
Solving some problems of elasticity theory by the integral equation method for a~holomorphic vector
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 143-150

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Under study are some problems of elasticity theory with nonclassical boundary value conditions. We assume that the load and displacement vectors are given on a part of the boundary, while on the other parts of the boundary, the load vector or the displacement vector may be given separately, and no conditions are imposed on the remaining part of the surface (of some nonzero measure). We consider the questions of uniqueness for the solutions to these problems. Solving the nonclassical problems is reduced to a system of singular integral equations for a holomorphic vector.
Keywords: elasticity theory, inverse problems, integral equations. 
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     author = {A. A. Shvab},
     title = {Solving some problems of elasticity theory by the integral equation method for a~holomorphic vector},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {143--150},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a14/}
}
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A. A. Shvab. Solving some problems of elasticity theory by the integral equation method for a~holomorphic vector. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 3, pp. 143-150. http://geodesic.mathdoc.fr/item/SJIM_2011_14_3_a14/