SCATTERING FOR THE DIRAC-KLEIN-GORDON SYSTEM WITH PSEUDOSCALAR SOURCE AND RESONANT INTERACTION

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Abstract

In this paper we revisit the Cauchy problems for the Dirac-Klein-Gordon system (DKG) with pseudoscalar source and resonant in-teraction. In the case of scalar source Candy and Herr [4–6] showed the linear scattering for small data or large data with initial data of partial smallness associated with charge conjugation. We apply their arguments to the partial smallness problem of (DKG) with pseudoscalar source and resonant interaction. We get a linear scattering result by exploiting null structure induced by chiral operator and angular regularity.

Original languageEnglish
Pages (from-to)1301-1337
Number of pages37
JournalBulletin of the Korean Mathematical Society
Volume61
Issue number5
DOIs
StatePublished - 2024.09

Keywords

  • charge conjugation
  • Dirac-Klein-Gordon equation
  • linear scattering
  • partial smallness
  • pseudoscalar source
  • resonant interaction

Quacquarelli Symonds(QS) Subject Topics

  • Mathematics

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