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arxiv: 0712.0493 · v1 · pith:GY3FTSJQnew · submitted 2007-12-04 · 🧮 math-ph · gr-qc· math.MP

Linear and nonlinear tails II: exact decay rates in spherical symmetry

classification 🧮 math-ph gr-qcmath.MP
keywords nonlinearexactlinearasymptoticscompetitiondecayderivedominant
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We derive the exact late-time asymptotics for small spherically symmetric solutions of nonlinear wave equations with a potential. The dominant tail is shown to result from the competition between linear and nonlinear effects.

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