A generalization of the weighted Strichartz estimates for wave equations large and an application to self-similar solutions

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説明

Weighted Strichartz estimates with homogeneous weights with critical exponents are proved for the wave equation without support restriction on the forcing term. The method of proof is based on the expansion by spherical harmonics and on the Sobolev space over the unit sphere, by which the required estimates are reduced to the radial case. As an application of the weighted Strichartz estimates, the existence and uniqueness of self-similar solutions to nonlinear wave equations is proved up to 5 space dimensions.

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詳細情報 詳細情報について

  • CRID
    1390572174748775040
  • NII論文ID
    120006459419
  • DOI
    10.14943/83859
  • HANDLE
    2115/69513
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • JaLC
    • IRDB
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用可

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