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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/73054完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王藹農(Ai-Nung Wang) | |
| dc.contributor.author | Bo-Ru Li | en |
| dc.contributor.author | 李柏儒 | zh_TW |
| dc.date.accessioned | 2021-06-17T07:15:32Z | - |
| dc.date.available | 2019-07-17 | |
| dc.date.copyright | 2019-07-17 | |
| dc.date.issued | 2019 | |
| dc.date.submitted | 2019-07-15 | |
| dc.identifier.citation | [1] F. R. Harvey AND H. B. Lawson, Jr., A generalization of PDEs from a Krylov point of view ,2019.
[2] F. R. Harvey and H. B. Lawson, Jr., Dirichlet duality and the nonlinear Dirichlet problem, Comm. on Pure and Applied Math. 62 2009, 396-443. [3] M. Cirant, F. R. Harvey, H. B. Lawson, Jr. and K. R. Payne, Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and pdes. [4] F. R. Harvey and H. B. Lawson, Jr. , Dirichlet duality and the non-linear Dirichlet problem on Riemannian manifolds, J. Diff. Geom. 88 No. 3 2011, 395-482. [5] F. R. Harvey and H. B. Lawson, Jr. ,Existence, uniqueness and removable singularities for nonlinear partial differential equations in geometry, pp. 102-156 in Surveys in Differential Geometry 2013, vol. 18, H. D. Cao and S. T. Yau eds., International Press, Somerville, MA, 2013. [6] F. R. Harvey and H. B. Lawson, Jr. ,Hyperbolic polynomials and the Dirichlet problem ,2009. [7] F. R. Harvey and H. B. Lawson, Jr. ,Geometric plurisubharmonicity and convexity an introduction, Advances in Math. 230 2012. [8] F. R. Harvey and H. B. Lawson, Jr. ,G_ardings theory of hyperbolic polynomials, Communications in Pure and Applied Mathematics 66 no. 7 2013. [9] F. R. Harvey and H. B. Lawson, Jr. ,Potential theory on almost complex manifolds, Ann. Inst. Fourier, Vol. 65 no. 1 2015. [10] Lawrence C. Evens ,Partial Di erential Equations ,1999. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/73054 | - |
| dc.description.abstract | 這篇文章主要是由F. Reese Harvey及H. Blaine Lawson, Jr.所寫的文章(參考文獻[2])中推廣調和函數的定義，並且說明存在性以及唯一性之間的關係、等價條件等。而這些證明及等價關係是由F. Reese Harvey及H. Blaine Lawson, Jr.所寫的文章(參考文獻[1])中所提出以及證明，而這篇文章中將細節敘述的更加完整，使得文章容易閱讀。 | zh_TW |
| dc.description.abstract | In [2]Dirichlet duality and the nonlinear Dirichlet problem, the Dirichlet problem of equation(or Dirichlet set) was discussed about its existence and uniqueness. About its existence, the paper uses Perron Solution to prove it. The solution likes a classical Perron method for existence of solution to Dirichlet problem on R^n ball.
In this paper, it extends the definition for equation about two subequations E and G. And then we discuss its existence, uniqueness and some properties. Basically, this article is reported on a published paper, see[1]. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T07:15:32Z (GMT). No. of bitstreams: 1 ntu-108-R05221011-1.pdf: 515817 bytes, checksum: b63fd206faf748fc0cbed995560bfe88 (MD5) Previous issue date: 2019 | en |
| dc.description.tableofcontents | 口試委員會審定書…………………………………………………... #
誌謝………………………………………………………………………………... i 中文摘要………………………………………………………………….... ii Abstract ………………………………………………………….... iii 1.Introduction……………………………………………………….. 1 2.Definitions…………………………………………………….... 4 3.Main Theorem……………………………………………………….. 8 4.Four Cases for Int……………………………….... 18 5.Bibliography…………………………………………………... 21 | |
| dc.language.iso | zh-TW | |
| dc.subject | 調和函數 | zh_TW |
| dc.subject | Harmonic Function | en |
| dc.title | 調和函數的推廣 | zh_TW |
| dc.title | Generalization of Harmonic Function | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 107-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 夏俊雄,陳逸昆 | |
| dc.subject.keyword | 調和函數, | zh_TW |
| dc.subject.keyword | Harmonic Function, | en |
| dc.relation.page | 22 | |
| dc.identifier.doi | 10.6342/NTU201901503 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2019-07-15 | |
| 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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