Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media

碩士 === 國立臺灣大學 === 數學研究所 === 100 === 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...

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Bibliographic Details
Main Authors: Yu-Pei Sun, 孫裕沛
Other Authors: 王振男
Format: Others
Language:en_US
Published: 2012
Online Access:http://ndltd.ncl.edu.tw/handle/62569230227558022877
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Summary:碩士 === 國立臺灣大學 === 數學研究所 === 100 === 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.