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Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians

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Bibliographic Details
Main Authors: Wei, Tang, Jia, Guo
Format: Book
Language:English
Published: Springer 2023
Subjects:
one-dimensional weighted fractal Laplacians
existence of eigenvalues
Online Access:https://link.springer.com/article/10.1007/s44198-023-00113-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7435
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spelling oai:localhost:PNK-74352023-04-03T07:14:59Z Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians Wei, Tang Jia, Guo one-dimensional weighted fractal Laplacians existence of eigenvalues CC BY We study the eigenvalues and eigenfunctions of one-dimensional weighted fractal Laplacians. These Laplacians are defined by self-similar measures with overlaps. We first prove the existence of eigenvalues and eigenfunctions. We then set up a framework for one-dimensional measures to discretize the equation defining the eigenvalues and eigenfunctions, and obtain numerical approximations of the eigenvalue and eigenfunction by using the finite element method. Finally, we show that the numerical eigenvalues and eigenfunctions converge to the actual ones and obtain the rate of convergence. 2023-04-03T07:14:59Z 2023-04-03T07:14:59Z 2023 Book https://link.springer.com/article/10.1007/s44198-023-00113-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7435 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic one-dimensional weighted fractal Laplacians
existence of eigenvalues
spellingShingle one-dimensional weighted fractal Laplacians
existence of eigenvalues
Wei, Tang
Jia, Guo
Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
description CC BY
format Book
author Wei, Tang
Jia, Guo
author_facet Wei, Tang
Jia, Guo
author_sort Wei, Tang
title Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
title_short Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
title_full Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
title_fullStr Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
title_full_unstemmed Eigenvalues and Eigenfunctions of One-Dimensional Fractal Laplacians
title_sort eigenvalues and eigenfunctions of one-dimensional fractal laplacians
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s44198-023-00113-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7435
_version_ 1762184303548039168
score 8.887836

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