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Title: | 麥克斯威爾電磁系統的強唯一連續延拓性及其定量分析 Quantitative uniqueness estimate of strong unique continuation property for the Maxwell system with anisotropic media |
Authors: | Yu-Pei Sun 孫裕沛 |
Advisor: | 王振男 |
Keyword: | 卡勒門估計,麥克斯威爾系統,非等向性,強唯一連續延拓性, Carleman estimate,Maxwell system,anisotropic media,strong unique continuation, |
Publication Year : | 2012 |
Degree: | 碩士 |
Abstract: | 在這篇文章中,我們考慮非零解在時諧性麥克斯威爾系統的局部行為,其系統為非等向
性的媒體。而我們主要得到的結果是此系統的強連續延拓性在某些條件之下將會成立,並且導出強連續延拓性的定量分析,也可以得到非零解趨近到零的速度。 我們主要運用到的工具為Carleman 估計導出Three-balls 不等式,再運用另一個Carleman估計以及Three-balls 不等式推導出Doubling 不等式,因此可得出強連續延拓性的定量分析。 In this article we consider the local behavior of a non-trivial solution for the time-harmonic Maxwell system with anisotropic media. The main result of this article is the bound on the vanishing order of the solution of the Maxwell system, which is a quantitative estimate of the strong unique continuation property (SUCP). And the most important tool is Carleman estimates. Our strategy in the proof is to derive doubling inequality through three-balls inequality. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6658 |
Fulltext Rights: | 同意授權(全球公開) |
Appears in Collections: | 數學系 |
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ntu-101-1.pdf | 388.07 kB | Adobe PDF | View/Open |
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