Geodesic
Dynamic search in convex domains
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 785-790.

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The dynamic search problem with the simple movement of objects in the limited convex domain of the $n$-dimentional Euclidean space is reduced to the similar problem in another domain includes the original one. As an application of the obtained result, the construction of the search trajectory on a plane is presented. 
@article{FPM_1998_4_2_a25,
     author = {A. A. Skvortsov},
     title = {Dynamic search in convex domains},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {785--790},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a25/}
}
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A. A. Skvortsov. Dynamic search in convex domains. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 2, pp. 785-790. http://geodesic.mathdoc.fr/item/FPM_1998_4_2_a25/