On the asymptotic behavior of nonlinear waves in the presence of a short-range potential

DOI IR (HANDLE) Open Access

Description

Consider the nonlinear wave equation with zero mass and a time-independent otential in three space dimensions. When it comes to the associated Cauchy problem, it s already known that short-range potentials do not a®ect the existence of small-amplitude olutions. In this paper, we focus on the associated scattering problem and we show that he situation is quite di®erent there. In particular, we show that even arbitrarily small and apidly decaying potentials may a®ect the asymptotic behavior of solutions.

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Keywords

Details 詳細情報について

  • CRID
    1390290699772074496
  • NII Article ID
    120006459475
  • DOI
    10.14943/83920
  • HANDLE
    2115/69578
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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