L^1 Estimate for the Dissipative Wave Equation in a Two Dimensional Exterior Domain

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著者

    • Ono Kosuke
    • Department of Mathematical and Natural Sciences The University of Tokushima

抄録

We consider the initial-boundary value problem in a two dimensional exterior domain for the dissipative wave equation (∂2t+∂- △)u= 0 with the homogeneous Dirichlet boundary condition. Using the so-called cut-off technique together with the local energy estimateand L1 and L2 estimates in the whole space,we derive the LP estimates with 1≤p≤∞ for the solution.

収録刊行物

  • Journal of mathematics, the University of Tokushima

    Journal of mathematics, the University of Tokushima (41), 43-57, 2007

    徳島大学

各種コード

  • NII論文ID(NAID)
    110006853406
  • NII書誌ID(NCID)
    AA11595324
  • 本文言語コード
    ENG
  • 資料種別
    departmental bulletin paper
  • ISSN
    1346-7387
  • データ提供元
    NII-ELS  IR 
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