Geodesic
Uniqueness conditions and numerical approximation of the solution to M.M. Lavrentiev's integral equation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 4, pp. 441-458 Cet article a éte moissonné depuis la source Math-Net.Ru

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M.M. Lavrentiev's linear integral equation arises as a result of a special transformation of a nonlinear coefficient inverse wave sensing problem. The completeness of the set of products of regular harmonic functions and Newtonian potentials supported by a segment is proved. As a corollary, we establish the uniqueness of the solution to M.M. Lavrentiev's equation and a related inverse problem of wave sensing. We present results of an approximate solution of this equation by using parallelization of calculations. 
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M. Yu. Kokurin; V. V. Klyuchev. Uniqueness conditions and numerical approximation of the solution to M.M. Lavrentiev's integral equation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 4, pp. 441-458. http://geodesic.mathdoc.fr/item/SJVM_2022_25_4_a8/

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