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...

Full description

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

id	ndltd-TW-100NTU05479002
record_format	oai_dc
spelling	ndltd-TW-100NTU054790022015-10-13T21:45:44Z http://ndltd.ncl.edu.tw/handle/62569230227558022877 Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media 麥克斯威爾電磁系統的強唯一連續延拓性及其定量分析 Yu-Pei Sun 孫裕沛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. 王振男 2012 學位論文 ; thesis 18 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	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.
author2	王振男
author_facet	王振男 Yu-Pei Sun 孫裕沛
author	Yu-Pei Sun 孫裕沛
spellingShingle	Yu-Pei Sun 孫裕沛 Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
author_sort	Yu-Pei Sun
title	Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
title_short	Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
title_full	Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
title_fullStr	Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
title_full_unstemmed	Quantitative uniqueness estimate of strong unique continuationproperty for the Maxwell system with anisotropic media
title_sort	quantitative uniqueness estimate of strong unique continuationproperty for the maxwell system with anisotropic media
publishDate	2012
url	http://ndltd.ncl.edu.tw/handle/62569230227558022877
work_keys_str_mv	AT yupeisun quantitativeuniquenessestimateofstronguniquecontinuationpropertyforthemaxwellsystemwithanisotropicmedia AT sūnyùpèi quantitativeuniquenessestimateofstronguniquecontinuationpropertyforthemaxwellsystemwithanisotropicmedia AT yupeisun màikèsīwēiěrdiàncíxìtǒngdeqiángwéiyīliánxùyántàxìngjíqídìngliàngfēnxī AT sūnyùpèi màikèsīwēiěrdiàncíxìtǒngdeqiángwéiyīliánxùyántàxìngjíqídìngliàngfēnxī
_version_	1718068307056132096

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

Similar Items