Article

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

ABI

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.

Topics

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

Identifiers

DOI: 10.15826/umj.2021.2.008

Citations and references

Cited by 034 references

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