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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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Article Details
Issue: Vol 4 No 1&2 (2001)
Page No.: 68-71
Published: Feb 28, 2001
Section: Article
DOI: https://doi.org/10.32508/stdj.v4i1&2.3475
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Copyright: The Authors. This is an open access article distributed under the terms of the Creative Commons Attribution License CC-BY 4.0., which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
How to Cite
Hoi Nghia, N. (2001). REGULARIZED SOLUTIONS OF A CAUCHY PROBLEM FOR THE POISSON EQUATION IN THE UPPER HALF-SPACE. VNUHCM Journal of Science and Technology Development, 4(1&2), 68-71. https://doi.org/https://doi.org/10.32508/stdj.v4i1&2.3475
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