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CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN

É. N. SattorovSamarkand State University, Samarkand boulevard 15, SamarkandZuxro E. ErmamatovaSamarkand State University, Samarkand boulevard 15, Samarkand

Ural mathematical journaljournal2021en

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Annotatsiya

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.

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Mavzular

advanced mathematical theories Differential Equations and Boundary Problems Differential Equations and Numerical Methods

Identifikatorlar

DOI: 10.15826/umj.2021.2.008

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