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VNUHCM Journal of

Science and Technology Development

An official journal of Viet Nam National University Ho Chi Minh City, Viet Nam since 1997

ISSN: 1859-0128
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REGULARIZED SOLUTIONS OF A CAUCHY PROBLEM FOR THE POISSON EQUATION IN THE UPPER HALF-SPACE.

Nguyen Hoi Nghia 1

Volume & Issue: Vol. 4 No. 1&2 (2001) | Page No.: 68-71 | DOI: 10.32508/stdj.v4i1&2.3475
Published: 2001-02-28

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Copyright © 2001 by the author(s).

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

We consider the problem of finding a solution of Poisson equation in the upper half-space with Cauchy data given on the open unit disk. The problem is reduced to solving an integral equation, which is then regularized using the Tikhonov method. Error estimates are given.

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