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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王振男(Jenn-Nan Wang) | |
| dc.contributor.author | Ru-Yu Lai | en |
| dc.contributor.author | 賴如育 | zh_TW |
| dc.date.accessioned | 2021-06-15T01:52:00Z | - |
| dc.date.available | 2009-07-16 | |
| dc.date.copyright | 2009-07-16 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-07-02 | |
| dc.identifier.citation | [1] Russell M. Brown, Recovering the conductivity at the boundary from the Dirichlet to Neumann map: a pointwise result}, J.Inv. Ill-Posed Problems, 9(6) (2001), 567--574.
[2] A.L.Bukhgeim, Recovering a potential from Cauchy data in the two-dimensional case, J.Inv. Ill-Posed Problems, 16 (2008), 19--33. [3] R. Beals and R. R. Coifman, Multidimensional inverse scatterings and nonlinear partial differential equations}, In F. Treves, editor, Pseudodifferential operators and applicatons, volume 43 of Proceedings of symposia in pure mathematics,Amer. Math. Soc., (1985), 45--70. [4] R. Beals and R. R. Coifman, The spectral problem for the Davey-Stewartson and Ishimori hierarchies, In Nonlinear evolution equations: Integrability and spectral methods, Manchester University Press, (1988), 15--23. [5] Russell M. Brown and Mikko Salo, Identifiability at the boundary for first-order terms, Applicable Analysis, 85 (2006), 735--749. [6] Russell M. Brown and Gunther A. Uhlmann, Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Comm. in Partial Differential Equations, 22 (1997), 1009--1027. [7] Jin Cheng, Gen Nakamura and Erkki Somersalo,Uniqueness of identifying the convection term, Comm. Korean Math. Soc., 16 (2001), 405--413. [8] Jin Cheng and Masahiro Yamamoto, Determination of two convection coefficients from Dirichlet to Neumann map in the two-dimensional case, SIAM J. Math. Anal., 35(6) (2004), 1371--1393. [9] Hyeonbae Kang and Gunther Uhlmann, Inverse Problems for the Pauli Hamiltonian in Two Dimensions, The Journal of Fourier Anslysis and Applications, 10 (2004), 201--215. [10] R. Kohn and M. Vogelius, Determining conductivity by boundary measurements., Comm. Pure Appl. Math.,37 (1984), 289--298. [11] Adrian I. Nachman, Global uniqueness for a two-dimensional inverse boundary value problem, Annals of Math.,142 (1995), 71--96. [12] Gen Nakamura, Ziqi Sun and Gunther Uhlmann, Global identifiability for an inverse problem for the Schr'{o}dinger equation in a magnetic field, Math. Ann, 303 (1995), 377--388. [13] Ziqi Sun, An inverse boundary value problem for Schr'{o}dinger operators with vector potentials, Trans. of AMS,338 (1993), 953--971. [14] John Sylvester and Gunther Uhlmann, A global uniqueness theorem for an inverse boundary value problem, Annals of Math., 125 (1987), 153--169. [15] I.N.Vekua, Generalized Analytic Functions, 2nd ed. Pergamon Press, London, (1962) . | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43362 | - |
| dc.description.abstract | In the two-dimensional case, we consider the problem of determining the potential A from the set of Cauchy data for the equation Pu=Du+Au=0. We transfer this first order
system problem into second order equation, then we hope to determine the coefficients of the second order equation. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T01:52:00Z (GMT). No. of bitstreams: 1 ntu-98-R95221005-1.pdf: 315877 bytes, checksum: 71da056f1764a2f619fe4f2b38c55144 (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | 1.Introduction 1
2.Second Order Equation 3 3.Some Lemmas 4 4.Proof of the Main Result 11 5.The Relation between First Order System and Second Order Equation 13 6.Recent Development for Caldero'n Problem 18 7.The Magnetic Field and the Electrical Potential for the Pauli Hamiltonian 23 References 27 | |
| dc.language.iso | en | |
| dc.subject | the Pauli Hamiltonian | en |
| dc.subject | magnetic field | en |
| dc.subject | electrical potential | en |
| dc.subject | Cauchy data | en |
| dc.subject | Dirichlet to Neumann map | en |
| dc.title | 一階系統的邊界值反問題 | zh_TW |
| dc.title | Inverse Boundary Value Problem for a First Order System | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳俊全,林景隆 | |
| dc.subject.keyword | Dirichlet to Neumann map,magnetic field,electrical potential,Cauchy data,the Pauli Hamiltonian, | en |
| dc.relation.page | 28 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-07-03 | |
| 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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