在不均勻介質中重建可穿透聲波的障礙物

Yi-Hsuan Lin; 林奕亘

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22684

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DC 欄位	值	語言
dc.contributor.advisor	王振男(Jenn-Nan Wang)
dc.contributor.author	Yi-Hsuan Lin	en
dc.contributor.author	林奕亘	zh_TW
dc.date.accessioned	2021-06-08T04:24:34Z	-
dc.date.copyright	2010-06-28
dc.date.issued	2010
dc.date.submitted	2010-06-18
dc.identifier.citation	[1] A. L. Bukhgeim and G. Uhlmann, Recovering a potential from partial Cauchy data, Commun. in PDEs, 27 (2002), 635-668. [2] C. E. Kenig, J. Sjstrand, and G. Uhlmann, The Caldern problems with partial data, Ann. of Math. (2), 165 (2007), 567-591. [3] D. Dos Santos Ferreira, C. E. Kenig, J. Sjstrand, and G. Uhlmann, Determining a magnetic Schrdinger operators from partial Cauchy data. Comm. Math. Physics. 271 (2007), no. 2, 467-488. [4] D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order. Second edition, Springer, Berlin, 1983. [5] G. Nakamura and K. Yoshida, Identification of a non-convex obstacle for acoustical scattering. J. Inverse Ill-Posed Probl. 15 (2007), 611-624. [6] G. Uhlmann and J.-N. Wang, Reconstruction discontinuities using complex geometrical optics solutions, SIAM J. Appl. Math., 68 (2008), 1026-1044. [7]s K. Yoshida, Reconstruction of a penetrable obstacle by complex spherical waves, J. Math. Anal. Appl (2010), 1-13. [8] Sei Nagayasu, G.Uhlmann and J.-N Wang, Reconstruction of penetrable obstacles in acoustics (preprint). [9] T. IDE, H. Isozaki, S. Nakata, S. Siltanen, G. Uhlmann, Probing for Electrical Inclusions with Complex Spherical Waves, Comm Appl. Math. 60 (10) (2007), 1415-1442. [10] Y.Y.Li and M. Vogelius, Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients, Arch. Rational Mech. Anal., 153 (2000), 91-151.
dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22684	-
dc.description.abstract	我們將用可穿透聲波來重建非凸集合的障礙物，在二維或者三維的非均勻介質下考慮這個問題。我們需要利用complex geometrical optics solution 來幫助我們重建未知的障礙物。	zh_TW
dc.description.abstract	We develop reconstruction schemes to determine nonconvex penetrable in a region in 2-dimensional or 3-dimensional in an inhomogeneous medium. This algorithm use complex geometrical optics solutions to the equation with general phase in 2-dimension and logarithm phase in 3-dimension. The 2-dimensional case will be demonstrated in section 2 and 3-dimensional case will be demonstrated in 3-dimension.	en
dc.description.provenance	Made available in DSpace on 2021-06-08T04:24:34Z (GMT). No. of bitstreams: 1 ntu-99-R97221032-1.pdf: 766474 bytes, checksum: d3f67197cb9bbb54224825b7f3212524 (MD5) Previous issue date: 2010	en
dc.description.tableofcontents	口試委員審定書………………………………………………………i 誌謝……………………………………………………………………ii 中文摘要………………………………………………………………iii 英文摘要………………………………………………………………iv 第一章Introduction……………………………………………………1 第二章 CGO solution in 2-demensional case…………………………3 第三章 Tools and estimates……………………………………………9 第四章 The main theorem and its proof………………………………23 第五章 CGO solution in 3-dimensional case…………………………31 第六章 Main results in 3-dimension………………………………….33 第七章 Proof of Theorem 6.5…………………………………………35 第八章 Construction of complex spherical waves…………………….42 參考文獻……………………………………………………………….48
dc.language.iso	zh-TW
dc.subject	可穿透	zh_TW
dc.subject	障礙物	zh_TW
dc.subject	reconstruction	en
dc.subject	penetrable	en
dc.title	在不均勻介質中重建可穿透聲波的障礙物	zh_TW
dc.title	Reconstruction of penetrable obstacles in acoustic in an inhomogeneous medium	en
dc.type	Thesis
dc.date.schoolyear	98-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	陳俊全,林景隆(Ching-Lung Lin)
dc.subject.keyword	可穿透,障礙物,	zh_TW
dc.subject.keyword	reconstruction,penetrable,	en
dc.relation.page	49
dc.rights.note	未授權
dc.date.accepted	2010-06-21
dc.contributor.author-college	理學院	zh_TW
dc.contributor.author-dept	數學研究所	zh_TW
顯示於系所單位：	數學系

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