A note on late-time tails of spherical nonlinear waves

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Bizoń, Piotr
Chmaj, Tadeusz
Rostworowski, Andrzej
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Abstract
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We consider the long-time behavior of small amplitude solutions of the semilinear wave equation $\Box \phi =\phi^p$ in odd $d\geq 5$ spatial dimensions. We show that for the quadratic nonlinearity ($p=2$) the tail has an anomalously small amplitude and fast decay. The extension of the results to more general nonlinearities involving first derivatives is also discussed.
Comment: 7 pages
Keywords
Mathematical Physics, General Relativity and Quantum Cosmology
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