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A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain

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Bibliographic Details
Main Authors: Xingtian, Gong, Shuwei, Yang
Format: Book
Language:English
Published: Springer 2023
Subjects:
Cauchy problem
Cauchy data
Online Access:https://link.springer.com/article/10.1186/s13661-023-01717-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411
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spelling oai:localhost:PNK-74112023-04-03T02:20:05Z A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain Xingtian, Gong Shuwei, Yang Cauchy problem Cauchy data CC BY The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the knowledge of exact or noisy Cauchy data on the remaining and accessible boundary, which is completely different from the Cauchy problem on a simply connected bounded region. 2023-04-03T02:20:04Z 2023-04-03T02:20:04Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01717-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Cauchy problem
Cauchy data
spellingShingle Cauchy problem
Cauchy data
Xingtian, Gong
Shuwei, Yang
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
description CC BY
format Book
author Xingtian, Gong
Shuwei, Yang
author_facet Xingtian, Gong
Shuwei, Yang
author_sort Xingtian, Gong
title A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
title_short A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
title_full A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
title_fullStr A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
title_full_unstemmed A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
title_sort local regularization scheme of cauchy problem for the laplace equation on a doubly connected domain
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1186/s13661-023-01717-2
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411
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score 8.881002

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