Article

Carleman's Formula of a Solution of the Poisson Equation

International Journal on Integrated Educationjournal2021en

ABI

Abstract

We suggest an explicit continuation formula for are a solution to the Cauchy problem for the Poisson equation in a domain from its values and the values of its normal derivative on part of the boundary. We construct an continuation formula of this problem based on the Carleman-Yarmuhamedov function method.

Topics

advanced mathematical theories Differential Equations and Boundary Problems Advanced Computational Techniques in Science and Engineering

Identifiers

DOI: 10.31149/ijie.v4i7.2071

Citations and references

Cited by 10 references

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