Geodesic
Carleman's formula of a solutions of the Poisson equation in bounded domain
Ural mathematical journal, Tome 7 (2021) no. 2, pp. 110-120 Cet article a éte moissonné depuis la source Math-Net.Ru

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We suggest an explicit continuation formula for a solution to the Cauchy problem for the Poisson equation in a domain from its values and values of its normal derivative on a part of the boundary. We construct the continuation formula of this problem based on the Carleman-Yarmuhamedov function method.
Keywords: ill-posed problem, regular solution, Carleman–Yarmuhamedov function, Green's formula, Mittag–Leffler entire function.
Mots-clés : Poisson equations, Carleman formula 
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Ermamat N. Sattorov; Zuxro E. Ermamatova. Carleman's formula of a solutions of the Poisson equation in bounded domain. Ural mathematical journal, Tome 7 (2021) no. 2, pp. 110-120. http://geodesic.mathdoc.fr/item/UMJ_2021_7_2_a7/

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