On The Existence of Classical Solutions of Monge-Ampère Type Equations
碩士 === 國立中興大學 === 應用數學系所 === 99 === This works deals with the existence and uniqueness of classical solutions of the Dirichlet problem (P) det(D2u − h|Du|2I) = f(x) in Omega u = 0 on boundary of Omega, in a uniformly convex domain Omega of Rn. In this thesis, we prove the existence and uniqueness of...
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2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/8wdgur |
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ndltd-TW-099NCHU55070822019-05-15T20:42:09Z http://ndltd.ncl.edu.tw/handle/8wdgur On The Existence of Classical Solutions of Monge-Ampère Type Equations Monge-Ampère型方程古典解的存在性 Sheng-Fu Hsu 許勝富 碩士 國立中興大學 應用數學系所 99 This works deals with the existence and uniqueness of classical solutions of the Dirichlet problem (P) det(D2u − h|Du|2I) = f(x) in Omega u = 0 on boundary of Omega, in a uniformly convex domain Omega of Rn. In this thesis, we prove the existence and uniqueness of classical solutions of the problem (P) for all small h > 0 under some smooth conditions on f and Omega. Hung-Ju Kuo 郭紅珠 2011 學位論文 ; thesis 24 zh-TW |
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NDLTD |
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zh-TW |
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Others
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NDLTD |
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碩士 === 國立中興大學 === 應用數學系所 === 99 === This works deals with the existence and uniqueness of classical solutions of the Dirichlet problem
(P)
det(D2u − h|Du|2I) = f(x) in Omega
u = 0 on boundary of Omega,
in a uniformly convex domain Omega of Rn. In this thesis, we prove the existence and uniqueness of classical solutions of the problem (P) for all
small h > 0 under some smooth conditions on f and Omega.
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| author2 |
Hung-Ju Kuo |
| author_facet |
Hung-Ju Kuo Sheng-Fu Hsu 許勝富 |
| author |
Sheng-Fu Hsu 許勝富 |
| spellingShingle |
Sheng-Fu Hsu 許勝富 On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| author_sort |
Sheng-Fu Hsu |
| title |
On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| title_short |
On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| title_full |
On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| title_fullStr |
On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| title_full_unstemmed |
On The Existence of Classical Solutions of Monge-Ampère Type Equations |
| title_sort |
on the existence of classical solutions of monge-ampère type equations |
| publishDate |
2011 |
| url |
http://ndltd.ncl.edu.tw/handle/8wdgur |
| work_keys_str_mv |
AT shengfuhsu ontheexistenceofclassicalsolutionsofmongeamperetypeequations AT xǔshèngfù ontheexistenceofclassicalsolutionsofmongeamperetypeequations AT shengfuhsu mongeamperexíngfāngchénggǔdiǎnjiědecúnzàixìng AT xǔshèngfù mongeamperexíngfāngchénggǔdiǎnjiědecúnzàixìng |
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