Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces

碩士 === 國立臺灣大學 === 數學研究所 === 102 === In this thesis, we will summarize some approaches to obtain sharp upper bounds of the first nonzero eigenvalues of the Laplacian operators on closed surfaces, including sphere S2, real projective plane RP2 and torus T2, in terms of their areas....

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Main Authors:	Kai-Wei Zhao, 趙凱衞
Other Authors:	李瑩英
Format:	Others
Language:	en_US
Published:	2014
Online Access:	http://ndltd.ncl.edu.tw/handle/38957580616086516800

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spelling	ndltd-TW-102NTU054790242016-03-09T04:24:20Z http://ndltd.ncl.edu.tw/handle/38957580616086516800 Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces 封閉曲面上拉普拉斯算子第一特徵值的最優上界 Kai-Wei Zhao 趙凱衞碩士國立臺灣大學數學研究所 102 In this thesis, we will summarize some approaches to obtain sharp upper bounds of the first nonzero eigenvalues of the Laplacian operators on closed surfaces, including sphere S2, real projective plane RP2 and torus T2, in terms of their areas. 李瑩英 2014 學位論文 ; thesis 52 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立臺灣大學 === 數學研究所 === 102 === In this thesis, we will summarize some approaches to obtain sharp upper bounds of the first nonzero eigenvalues of the Laplacian operators on closed surfaces, including sphere S2, real projective plane RP2 and torus T2, in terms of their areas.
author2	李瑩英
author_facet	李瑩英 Kai-Wei Zhao 趙凱衞
author	Kai-Wei Zhao 趙凱衞
spellingShingle	Kai-Wei Zhao 趙凱衞 Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
author_sort	Kai-Wei Zhao
title	Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
title_short	Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
title_full	Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
title_fullStr	Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
title_full_unstemmed	Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces
title_sort	sharp upper bounds of the first eigenvalues of the laplacianoperators on closed surfaces
publishDate	2014
url	http://ndltd.ncl.edu.tw/handle/38957580616086516800
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Sharp Upper Bounds of the First Eigenvalues of the LaplacianOperators on Closed Surfaces

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