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: REFINED AND MICROLOCAL KAKEYA-NIKODYM BOUNDS OF EIGENFUNCTIONS IN HIGHER DIMENSIONS
作者Authors: MATTHEW D. BLAIR AND 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: Kakeya-Nikodym bound
摘要Abstract: We prove a Kakeya-Nikodym bound on eigenfunctions and quasi- modes, which sharpens a result of the authors [3] and extends it to higher di- mensions. As in the prior work, the key intermediate step is to prove a microlo- cal version of these estimates, which involves a phase space decomposition of these modes which is essentially invariant under the bicharacteristic/geodesic flow. In a companion paper [4], it will be seen that these sharpened estimates yield improved Lq(M) bounds on eigenfunctions in the presence of nonpositive curvature when 2 < q < 2(d+1) .
d−1

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_e3fa8a41.pdf 351Kb pdf 76 --
文件中檔案:
 

開啟檔案Download
 
 
返回前一頁