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

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Author(s)

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

Abstract

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.

Journal

  • Journal of mathematics, the University of Tokushima

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

    The University of Tokushima

Codes

  • NII Article ID (NAID)
    110006853406
  • NII NACSIS-CAT ID (NCID)
    AA11595324
  • Text Lang
    ENG
  • Article Type
    departmental bulletin paper
  • ISSN
    1346-7387
  • Data Source
    NII-ELS  IR 
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