Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/32557
DC FieldValueLanguage
dc.contributor.advisor陳天進zh_TW
dc.contributor.advisorTen-ging Chenen_US
dc.contributor.author謝佩玲zh_TW
dc.contributor.authorPeiling Hsiehen_US
dc.creator謝佩玲zh_TW
dc.creatorPeiling Hsiehen_US
dc.date2002en_US
dc.date.accessioned2009-09-17T05:44:46Z-
dc.date.available2009-09-17T05:44:46Z-
dc.date.issued2009-09-17T05:44:46Z-
dc.identifierG0089751010en_US
dc.identifier.urihttps://nccur.lib.nccu.edu.tw/handle/140.119/32557-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學研究所zh_TW
dc.description89751010zh_TW
dc.description91zh_TW
dc.description.abstract在這篇論文裡,我們將用Henkin的積分表現法寫出***u=f在C^n上的球域與殼域的解。\n除此之外,我們將估計常數C以滿足***-方程的均勻估計,即||u||∞≦C||f||∞。zh_TW
dc.description.abstractIn this thesis, we will write down the Henkin`s solutions of\n***u=f for arbitrary ***-closed (0,1)-form f on the open balls and shell domains in C^n, and then proceed to find an explicit upper bound C such that the uniform estimates hold in these domains; that is, ||u||∞≦C||f||∞.en_US
dc.description.tableofcontentsAbstract i\n中文摘要 ii\n1.Introduction 1\n2.General Results 3\n3.Integral Representation of Solution on Balls in C^n 8\n4.Uniform Estimate for Solution Balls in C^n 10\n5.Uniform Estimate for Solution on Shell Domains in C^n 25\nReferences 34zh_TW
dc.format.extent76137 bytes-
dc.format.extent98589 bytes-
dc.format.extent125631 bytes-
dc.format.extent292759 bytes-
dc.format.extent94585 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.language.isoen_US-
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#G0089751010en_US
dc.subject均勻估計zh_TW
dc.title殼域上的 -方程解與均勻估計zh_TW
dc.typethesisen
dc.relation.reference[1] T. G. Chen, On Henkin`s solution of the ***-problem onzh_TW
dc.relation.referencestrictly convex domains in C^n, Universtity of Californiazh_TW
dc.relation.referenceat Berkeley Ph. D. Thesis, 1985.zh_TW
dc.relation.reference[2] T. G. Chen, Geometry of strictly convex domains and anzh_TW
dc.relation.referenceapplication to the uniform estimate of the ***-problem,zh_TW
dc.relation.referenceTrans. Amer. Math. Soc. 347, (1995), 2127-2137.zh_TW
dc.relation.reference[3] T. G. Chen and L. J. Lin, Integral representation ofzh_TW
dc.relation.referencesolution for ***u=f and its uniform estimate on ellipsoids,zh_TW
dc.relation.referenceSoochow Journal of Mathematics 21, (1995), 313-334.zh_TW
dc.relation.reference[4] H. Grauert and I. Lieb, Das Ramirezsche Integral und diezh_TW
dc.relation.referenceLosung der Gleichung im Bereich der beschrankten Formen,zh_TW
dc.relation.referenceRice Univ. Studies 56(1970) no. 2, 29-50.zh_TW
dc.relation.reference[5] G. M. Henkin, Integral representations of functionszh_TW
dc.relation.referenceholomorphic in strictly pseudoconvex domains andzh_TW
dc.relation.referenceapplications to the ***-problem, Mat. Sb. 82(124), 300-308zh_TW
dc.relation.reference(1979); Math. U.S.S.R. Sb. 11(1970), 273-281.zh_TW
dc.relation.reference[6] G. M. Henkin and J. Leuterer, Theory of functions on complexzh_TW
dc.relation.referencemanifolds, Birkfauser, Boston, Mass., 1984.zh_TW
dc.relation.reference[7] L. Hormander, L^2 estimates and existence theorems for thezh_TW
dc.relation.reference*** operator, Acta Math., 113(1965), 82-152.zh_TW
dc.relation.reference[8] L. Hormander, Introduction to complex analysis in severalzh_TW
dc.relation.referencevariables, North Holland, Amsterdam, 1973.zh_TW
dc.relation.reference[9] N. Kerzman, Holder and L^p estimates for solution of ***u=fzh_TW
dc.relation.referenceon strongly pseudoconvex domains, Comm. Pure. Appl. Math.,zh_TW
dc.relation.referenceXXIV(1971), 301-380.zh_TW
dc.relation.reference[10]S. G. Krantz, Function theory of several complex variables,zh_TW
dc.relation.reference2nd ed. Wadsworth and Brooks, pacific Grove, CA.zh_TW
dc.relation.reference[11]S. Long, Comples analysis, Reading, Mass., Addison-Wesleyzh_TW
dc.relation.referencePub. Co., 1977.zh_TW
dc.relation.reference[12]E. Ramirez, Divisions problem in der komplexen analysis mitzh_TW
dc.relation.referenceeiner Anwendung auf Rand integral darstellung, Math. Ann.,zh_TW
dc.relation.reference184(1970), 172-187.zh_TW
dc.relation.reference[13]R. M. Range, Holomorphic functions and integralzh_TW
dc.relation.referencerepresentations in several complex variables, Springer-zh_TW
dc.relation.referenceVerlag New York Inc., 1986.zh_TW
dc.relation.reference[14]H. Shi, Uniform estimates for the ***-equation on balls,zh_TW
dc.relation.referenceProc. of the 1980 Beijing Symp. on differential geometryzh_TW
dc.relation.referenceand differential equations, Science Press, Beihing, China,zh_TW
dc.relation.reference1982, Gordon and Breach, Science Publisher, Inc., New York,zh_TW
dc.relation.referencevol. 3, 1431-1439.zh_TW
item.fulltextWith Fulltext-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.openairetypethesis-
item.languageiso639-1en_US-
Appears in Collections:學位論文
Files in This Item:
File Description SizeFormat
75101001.pdf74.35 kBAdobe PDF2View/Open
75101002.pdf96.28 kBAdobe PDF2View/Open
75101003.pdf122.69 kBAdobe PDF2View/Open
75101004.pdf285.9 kBAdobe PDF2View/Open
75101005.pdf92.37 kBAdobe PDF2View/Open
Show simple item record

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.