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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66041| Title: | 平板方程式的唯一延拓性 The Strong Unique Continuation Property of The Plate Equation with Lipschitz coefficients |
| Authors: | Peng-Fei Yao 姚鵬飛 |
| Advisor: | 王振男(Jenn-Nan Wang) |
| Keyword: | 局部各向同性,唯一延拓性,Carleman 估計法,三球不等式, local isotropy,SUCP,three-ball inequalities, |
| Publication Year : | 2011 |
| Degree: | 碩士 |
| Abstract: | 在這篇論文中，我們將要討論的是二維平板方程式的唯一延拓性而方程式的係數是Lipschitz，而我們的想法是引用彈性方程式的唯一延拓性，在加上我們本身所加入的條件，因此我們可以利用彈性方程式來證明平板方程式也有同樣的性質。 In this paper we study the solution of plate equation with Lipschitz coefficients in two dimensions. Our main result is the bound on the vanishing order of a nontrivial solution satisfying the plate equation, which immediately implies the srtong unique continuation property(SUCP). |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66041 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
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| File | Size | Format | |
|---|---|---|---|
| ntu-100-1.pdf Restricted Access | 306.18 kB | Adobe PDF |
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