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ЖУРНАЛЫ // Ural Mathematical Journal // Архив

Ural Math. J., 2021, том 7, выпуск 2, страницы 110–120 (Mi umj153)

Эта публикация цитируется в 1 статье

Carleman's formula of a solutions of the Poisson equation in bounded domain

Ermamat N. Sattorov, Zuxro E. Ermamatova

Samarkand State University

Аннотация: 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.

Ключевые слова: Poisson equations, ill-posed problem, regular solution, Carleman–Yarmuhamedov function, Green's formula, Carleman formula, Mittag–Leffler entire function.

Язык публикации: английский

DOI: 10.15826/umj.2021.2.008



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