Space-time resonances and the null condition for first-order systems of wave equations

Fabio Pusateri, Jalal Shatah

Research output: Contribution to journalArticlepeer-review

Abstract

In this manuscript we prove global existence and linear asymptotic behavior of small solutions to nonlinear wave equations. We assume that the quadratic part of the nonlinearity satisfies a nonresonance condition that is a generalization of the null condition given by Klainerman.

Original languageEnglish (US)
Pages (from-to)1495-1540
Number of pages46
JournalCommunications on Pure and Applied Mathematics
Volume66
Issue number10
DOIs
StatePublished - Oct 2013

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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