A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds
We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. We show a meaningful asymptotic result which is more general than those in Huisken, 1997.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/304864 |
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| _version_ | 1832567408171155456 |
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| author | Qiang Ru |
| author_facet | Qiang Ru |
| author_sort | Qiang Ru |
| collection | DOAJ |
| description | We study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. We show a meaningful asymptotic result which is more general than those in Huisken, 1997. |
| format | Article |
| id | doaj-art-dbf16b7b4c924a2eaf6de5d245c8816d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dbf16b7b4c924a2eaf6de5d245c8816d2025-02-03T01:01:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/304864304864A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian ManifoldsQiang Ru0Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, ChinaWe study the asymptotic behavior of the parabolic Monge-Ampère equation in , in , where is a compact complete Riemannian manifold, λ is a positive real parameter, and is a smooth function. We show a meaningful asymptotic result which is more general than those in Huisken, 1997.http://dx.doi.org/10.1155/2013/304864 |
| spellingShingle | Qiang Ru A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds Journal of Applied Mathematics |
| title | A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds |
| title_full | A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds |
| title_fullStr | A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds |
| title_full_unstemmed | A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds |
| title_short | A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds |
| title_sort | note on the asymptotic behavior of parabolic monge ampere equations on riemannian manifolds |
| url | http://dx.doi.org/10.1155/2013/304864 |
| work_keys_str_mv | AT qiangru anoteontheasymptoticbehaviorofparabolicmongeampereequationsonriemannianmanifolds AT qiangru noteontheasymptoticbehaviorofparabolicmongeampereequationsonriemannianmanifolds |