Ermamat N. Sattorov, Zuxro E. Ermamatova, “Carleman's formula of a solutions of the Poisson equation in bounded domain”, Ural Math. J., 2021, Volume 7, Issue 2,Pages <nobr>110

This article is cited in 1 paper

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

Ermamat N. Sattorov, Zuxro E. Ermamatova

Samarkand State University

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

Language: English

DOI: 10.15826/umj.2021.2.008