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

Fabio Pusateri; Jalal Shatah

doi:10.1002/cpa.21461

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

Fabio Pusateri
, Jalal Shatah

Mathematics

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

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 language	English (US)
Pages (from-to)	1495-1540
Number of pages	46
Journal	Communications on Pure and Applied Mathematics
Volume	66
Issue number	10
DOIs	https://doi.org/10.1002/cpa.21461
State	Published - Oct 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1002/cpa.21461

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title = "Space-time resonances and the null condition for first-order systems of wave equations",

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.",

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AU - Pusateri, Fabio

AU - Shatah, Jalal

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/84881023008#tab=citedBy

U2 - 10.1002/cpa.21461

DO - 10.1002/cpa.21461

M3 - Article

AN - SCOPUS:84881023008

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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