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ID 33924
本文ファイル
著者
Sugimoto, Hiroshi
キーワード
Wave equations
weighted energy estimates
local energy decay
Keel
Smith and Sogge estimate
2010 Mathematics Subject Classification: 35L05
2010 Mathematics Subject Classification: 35P25
2010 Mathematics Subject Classification: 35B40
NDC
数学
抄録(英)
Weighted energy estimates including the Keel, Smith and Sogge estimate is obtained for solutions of exterior problem of the wave equation in three or higher dimensional Euclidean spaces. For the solutions of the Cauchy problem, which is corresponding to the free system in scattering theory, the estimates are given by using the ideas introduced by Morawetz and summarized by Mochizuki for the Dirichlet problem in the outside of star shaped obstacles. From the estimates for the free system, the corresponding estimates for exterior domains are given if it is assumed that the local energy decays uniformly with respect to initial data, which depends on the structures of propagation of singularities.
掲載誌名
Forum Mathematicum
23巻
6号
開始ページ
1217
終了ページ
1258
出版年月日
2011
出版者
Walter De Gruyter & Co.
ISSN
0933-7741
NCID
出版者DOI
言語
英語
NII資源タイプ
学術雑誌論文
広大資料タイプ
学術雑誌論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
publisher
権利情報
(c) de Gruyter 2011
関連情報URL
部局名
理学研究科