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標題Title: ESTIMATES ON THE MODULUS OF EXPANSION FOR VECTOR FIELDS SOLVING NONLINEAR EQUATIONS
作者Authors: LEI NI
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: Brascamp-Lieb.
摘要Abstract: By adapting methods of [AC] we prove a sharp estimate on the expansion modulus of the gradient of the log of the parabolic kernel to the Sch ̈ordinger operator with convex potential, which improves an earlier work of Brascamp-Lieb. We also include alternate proofs to the improved log-concavity estimate, and to the fundamental gap theorem of Andrews-Clutterbuck via the elliptic maximum principle. Some applications of the estimates are also obtained, including a sharp lower bound on the first eigenvalue.

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2012_12_e16b95ff.pdf 212Kb pdf 101 8
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