Dilation Method and smoothing Effect of Solutions to the Benjamin-ono Equation

DOI IR (HANDLE) Open Access

Description

In this paper we study smoothing effects of solutions to the Benjamin-Ono equation (BO) 8tu + u8zu + H8􀀌u = O, u(O) = </J, :z: E IR, (t,:z:) E IR X IR, where H is the Hilbert transform defined by (Hf)(z) == p.v.-1 / f--dy) y. We prove that if </J E H4 and (z8z )4</J, then the solution u of (BO) belongs to Lf:c(JR\{O};H8 •-4), where

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Keywords

Details 詳細情報について

  • CRID
    1390853649725234432
  • NII Article ID
    120006456562
  • DOI
    10.14943/83394
  • HANDLE
    2115/68998
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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