Heat kernel asymptotic expansions for Schrödinger operator on R^n
碩士 === 國立臺灣大學 === 數學研究所 === 105 === In this thesis, we study the expression of the heat kernel of the Schrodinger operator in Euclidean space and its asymptotic expansion. We start by observing the behavior of the constant coefficient Schr"odinger operator in Euclidean space and introduce the n...
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ndltd-TW-105NTU054790092019-05-15T23:39:39Z http://ndltd.ncl.edu.tw/handle/24tbf3 Heat kernel asymptotic expansions for Schrödinger operator on R^n 在歐氏空間上薛丁格算子的熱核漸進展開 Nai-Yo Hu 胡乃友 碩士 國立臺灣大學 數學研究所 105 In this thesis, we study the expression of the heat kernel of the Schrodinger operator in Euclidean space and its asymptotic expansion. We start by observing the behavior of the constant coefficient Schr"odinger operator in Euclidean space and introduce the new symbol space, and write down the expression of the heat kernel by the approximation method. It''s proved the existence and uniqueness of the heat kernel for the Schr"odinger operator in Euclidean space, and the asymptotic expansion of the heat kernel at time is approach to 0. Chin-Yu Hsiao 蕭欽玉 2017 學位論文 ; thesis 19 en_US |
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碩士 === 國立臺灣大學 === 數學研究所 === 105 === In this thesis, we study the expression of the heat kernel of the Schrodinger operator in Euclidean space and its asymptotic expansion. We start by observing the behavior of the constant coefficient Schr"odinger operator in Euclidean space and introduce the new symbol space, and write down the expression of the heat kernel by the approximation method. It''s proved the existence and uniqueness of the heat kernel for the Schr"odinger operator in Euclidean space, and the asymptotic expansion of the heat kernel at time is approach to 0.
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Chin-Yu Hsiao |
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Chin-Yu Hsiao Nai-Yo Hu 胡乃友 |
| author |
Nai-Yo Hu 胡乃友 |
| spellingShingle |
Nai-Yo Hu 胡乃友 Heat kernel asymptotic expansions for Schrödinger operator on R^n |
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Nai-Yo Hu |
| title |
Heat kernel asymptotic expansions for Schrödinger operator on R^n |
| title_short |
Heat kernel asymptotic expansions for Schrödinger operator on R^n |
| title_full |
Heat kernel asymptotic expansions for Schrödinger operator on R^n |
| title_fullStr |
Heat kernel asymptotic expansions for Schrödinger operator on R^n |
| title_full_unstemmed |
Heat kernel asymptotic expansions for Schrödinger operator on R^n |
| title_sort |
heat kernel asymptotic expansions for schrödinger operator on r^n |
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2017 |
| url |
http://ndltd.ncl.edu.tw/handle/24tbf3 |
| work_keys_str_mv |
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1719151907882139648 |