Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow
We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation ut=Δu+aulogu+bu with a,b being two real constants; the other is ut=Δu+λuα with λ,α being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/2894207 |
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| _version_ | 1832552643197665280 |
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| author | Guangyue Huang Bingqing Ma |
| author_facet | Guangyue Huang Bingqing Ma |
| author_sort | Guangyue Huang |
| collection | DOAJ |
| description | We consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation ut=Δu+aulogu+bu with a,b being two real constants; the other is ut=Δu+λuα with λ,α being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang-type gradient estimates. |
| format | Article |
| id | doaj-art-5ad7c979bb6b4517be73aecdc6c1c190 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5ad7c979bb6b4517be73aecdc6c1c1902025-02-03T05:58:08ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/28942072894207Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci FlowGuangyue Huang0Bingqing Ma1College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, ChinaHenan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan 453007, ChinaWe consider gradient estimates for two types of nonlinear parabolic equations under the Ricci flow: one is the equation ut=Δu+aulogu+bu with a,b being two real constants; the other is ut=Δu+λuα with λ,α being two real constants. By a suitable scaling for the above two equations, we obtain Hamilton-Souplet-Zhang-type gradient estimates.http://dx.doi.org/10.1155/2016/2894207 |
| spellingShingle | Guangyue Huang Bingqing Ma Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow Journal of Function Spaces |
| title | Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow |
| title_full | Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow |
| title_fullStr | Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow |
| title_full_unstemmed | Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow |
| title_short | Hamilton-Souplet-Zhang’s Gradient Estimates for Two Types of Nonlinear Parabolic Equations under the Ricci Flow |
| title_sort | hamilton souplet zhang s gradient estimates for two types of nonlinear parabolic equations under the ricci flow |
| url | http://dx.doi.org/10.1155/2016/2894207 |
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