Weighted energy estimates for wave equations in exterior domains

Forum Mathematicum 23 巻 6 号 1217-1258 頁 2011 発行
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タイトル ( eng )
Weighted energy estimates for wave equations in exterior domains
作成者
Sugimoto Hiroshi
収録物名
Forum Mathematicum
23
6
開始ページ 1217
終了ページ 1258
抄録
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.
著者キーワード
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分類
数学 [ 410 ]
言語
英語
資源タイプ 学術雑誌論文
出版者
Walter De Gruyter & Co.
発行日 2011
権利情報
(c) de Gruyter 2011
出版タイプ Version of Record(出版社版。早期公開を含む)
アクセス権 オープンアクセス
収録物識別子
[ISSN] 0933-7741
[DOI] 10.1515/FORM.2011.045
[NCID] AA10669403
[DOI] http://dx.doi.org/10.1515/FORM.2011.045