Global Regularity for the Quadratic Klein-Gordon Equation in R1+2

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Abstract

We consider 2-D Klein-Gordon equation with quadratic nonlinearity and prove Strichartz type dispersive estimates for the global solution with small initial data in the Sobolev space H1+ε{lunate}.

Original languageEnglish
Pages (from-to)1287-1312
Number of pages26
JournalCommunications in Partial Differential Equations
Volume38
Issue number8
DOIs
Publication statusPublished - 2013
Externally publishedYes

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Keywords

  • Dispersive estimates
  • Klein-Gordon equation
  • Small data solutions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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