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Эта публикация цитируется в 1 научной статье (всего 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.
Образец цитирования:
Ermamat N. Sattorov, Zuxro E. Ermamatova, “Carleman's formula of a solutions of the Poisson equation in bounded domain”, Ural Math. J., 7:2 (2021), 110–120
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/umj153 https://www.mathnet.ru/rus/umj/v7/i2/p110
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Страница аннотации: | 155 | PDF полного текста: | 102 | Список литературы: | 36 |
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