尚未登入 請由此登入
 
 
 










知識分享平台Eshare檢視資訊View
返回前一頁Back
      [檢舉]

標題Title: LOCALIZED Lp-ESTIMATES OF EIGENFUNCTIONS: A NOTE ON AN ARTICLE OF HEZARI AND RIVIE`RE
作者Authors: CHRISTOPHER D. SOGGE
上傳單位Department: 電子工程系
上傳時間Date: 2016-6-8
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: Lp-estimates
摘要Abstract: We use a straightforward variation on a recent argument of Hezari and
Rivi`ere [8] to obtain localized Lp-estimates for all exponents larger than or equal
to the critical exponent pc = 2(n+1). We are able to this directly by just using n−1
the Lp-bounds for spectral projection operators from our much earlier work [12].
The localized bounds we obtain here imply, for instance, that, for a density one
sequence of eigenvalues on a manifold whose geodesic flow is ergodic, all of the Lp,
2 < p ≤ ∞, bounds of the corresponding eigenfunctions are relatively small compared
to the general ones in [12], which are saturated on round spheres.

檔案名稱
FileName
檔案大小
Size
檔案格式
Format
瀏覽次數
Browses
下載次數
Downloads
2016_6_8570f269.pdf 193Kb pdf 26 --
文件中檔案:
 

開啟檔案Download
 
 
返回前一頁