| HAMILTON-JACOBI方程的超压缩性及相关不等式 |
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| 引用本文： | 谢宾. HAMILTON-JACOBI方程的超压缩性及相关不等式[J]. 数学杂志, 2003, 23(4): 397-402 |
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| 作者姓名： | 谢宾 |
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| 作者单位： | 武汉大学数学与统计学院,武汉,430072 |
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| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina (No .1 0 2 71 0 91 ) |
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| 摘 要： | 本文主要研究了p≥2的对数-sobolev不等式与一般Hamilton-Jacobi方程解的超压缩性的相关性。同时我们也建立极小卷积不等式与p-阶费用传输不等式之间的关系。
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| 关 键 词： | 超压缩性 极小卷积不等式 传输不等式 对数-Sobolev不等式 Hamllton-Jacobi方程 |
HYPERCONTRACTIVITY OF HAMILTON-JACOBI EQUATIONS AND RELATED INEQUALITIES |
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| XIE Bin. HYPERCONTRACTIVITY OF HAMILTON-JACOBI EQUATIONS AND RELATED INEQUALITIES[J]. Journal of Mathematics, 2003, 23(4): 397-402 |
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| Authors: | XIE Bin |
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| Abstract: | In this paper we mainly investigate that the logarithmic Sobolev inequalities for p ≥ 2 are related to the hypercontractivity of the solutions of the general Hamiltion-Jacobi equations. At the same time we also describe a clear relation between infimum-convolution inequalities and transportation inequalities with p-power cost. |
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| Keywords: | hypercontractivity infimum convolution inequality logarithmic Sobolev inequality transportation inequality Hamiltion Jacobi equations |
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