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STABLE APPROXIMATION OF SOLUTIONS OF A CAUCHY PROBLEM FOR POISSON EQUATION IN THE UPPER HALF-SPACE

Nguyen Cong Tam 1
Volume & Issue: Vol. 5 No. 12 (2002) | Page No.: 11-15 | DOI: 10.32508/stdj.v5i12.3459
Published: 2002-12-31

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

The problem of finding a solution of Poisson equation in the upper half-space with Cauchy data given on the open unit disk is formulated as an integral equation. This equation is regularized by the Tikhonov methode with error estimates given.

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