| Energy identity of the heat flow of H-systems at finite singular time |
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| 作者姓名： | Tao HUANG~ Zhong TAN School of Mathematical Sciences Xiamen University Xiamen China |
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| 作者单位： | Tao HUANG~ Zhong TAN School of Mathematical Sciences，Xiamen University，Xiamen 361005，China |
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| 基金项目： | 国家自然科学基金;厦门大学"985工程"项目 |
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| 摘 要： | It is well known that there exists a global solution to the heat flow of H-systems.If the solution satisfies a certain energy inequality,it is global regular with at most finitely many singularities. Under the same energy inequality,we can show the energy identity of the heat flow of H-systems at finite singular time.The most interesting thing in our proof is that we find the singular points can only occur in the interior of the set in some sense.
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Energy identity of the heat flow of H-systems at finite singular time |
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| Tao HUANG Zhong TAN School of Mathematical Sciences,Xiamen University,Xiamen ,China.Energy identity of the heat flow of H-systems at finite singular time[J].Science in China(Mathematics),2007,50(11):1571-1582. |
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| Authors: | Tao HUANG Zhong TAN |
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| Abstract: | It is well known that there exists a global solution to the heat flow of H-systems.If the solution satisfies a certain energy inequality,it is global regular with at most finitely many singularities. Under the same energy inequality,we can show the energy identity of the heat flow of H-systems at finite singular time.The most interesting thing in our proof is that we find the singular points can only occur in the interior of the set in some sense. |
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| Keywords: | H-systems heat flow singularity energy identity regularity |
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