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

Fabio Pusateri, Jalal Shatah

Research output: Contribution to journalArticle

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

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Null Condition
Small Solutions
Nonresonance
First-order System
Nonlinear Wave Equation
Wave equations
Global Existence
Wave equation
Asymptotic Behavior
Space-time
Nonlinearity
Generalization

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Space-time resonances and the null condition for first-order systems of wave equations. / Pusateri, Fabio; Shatah, Jalal.

In: Communications on Pure and Applied Mathematics, Vol. 66, No. 10, 10.2013, p. 1495-1540.

Research output: Contribution to journalArticle

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