Space-Time Resonances and the Null Condition for First-Order Systems of Wave Equations

作者:Pusateri Fabio*; Shatah Jalal
来源:Communications on Pure and Applied Mathematics, 2013, 66(10): 1495-1540.
DOI:10.1002/cpa.21461

摘要

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.

  • 出版日期2013-10