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

• Ono, Kosuke

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

Details

• CRID: 1050001337985313152
• NII Article ID: 110006853406
• NII Book ID: AA11595324
• ISSN: 13467387
• Web Site: http://repo.lib.tokushima-u.ac.jp/84882
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • CiNii Articles
  • KAKEN