Existence Theorems via Calculus of Variations

Existence Theorems via Calculus of Variations

碩士 === 國立中正大學 === 應用數學研究所 === 92 === By using Calculus of Variations to prove that certain PDE has at least one nontrivial solution. The method is to derive that a functional of some particular form. Then its corresponding Euler-Lagrange equation has at least one nontrivial weak solution....

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Main Author: 黃予俐
Other Authors: 潘志祥
Format: Others
Language:en_US
Published: 2004
Online Access:http://ndltd.ncl.edu.tw/handle/83148146720180469803
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spelling ndltd-TW-092CCU005070072016-01-04T04:08:34Z http://ndltd.ncl.edu.tw/handle/83148146720180469803 Existence Theorems via Calculus of Variations 由變分法來看解的存在性 黃予俐 碩士 國立中正大學 應用數學研究所 92 By using Calculus of Variations to prove that certain PDE has at least one nontrivial solution. The method is to derive that a functional of some particular form. Then its corresponding Euler-Lagrange equation has at least one nontrivial weak solution. At last, I present two properties of solutions for Poisson equations. 潘志祥 2004 學位論文 ; thesis 56 en_US
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language en_US
format Others
sources NDLTD
description 碩士 === 國立中正大學 === 應用數學研究所 === 92 === By using Calculus of Variations to prove that certain PDE has at least one nontrivial solution. The method is to derive that a functional of some particular form. Then its corresponding Euler-Lagrange equation has at least one nontrivial weak solution. At last, I present two properties of solutions for Poisson equations.
author2 潘志祥
author_facet 潘志祥
黃予俐
author 黃予俐
spellingShingle 黃予俐
Existence Theorems via Calculus of Variations
author_sort 黃予俐
title Existence Theorems via Calculus of Variations
title_short Existence Theorems via Calculus of Variations
title_full Existence Theorems via Calculus of Variations
title_fullStr Existence Theorems via Calculus of Variations
title_full_unstemmed Existence Theorems via Calculus of Variations
title_sort existence theorems via calculus of variations
publishDate 2004
url http://ndltd.ncl.edu.tw/handle/83148146720180469803
work_keys_str_mv AT huángyǔlì existencetheoremsviacalculusofvariations
AT huángyǔlì yóubiànfēnfǎláikànjiědecúnzàixìng
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