A note on late-time tails of spherical nonlinear waves

Details A note on late-time tails of spherical nonlinear waves A note on late-time tails of spherical nonlinear waves

2008-04-06

arxiv.org/abs/0804.0903v1

Phys.Rev.D78:024044,2008

Physics

Mathematical Physics

7 pages

Scientific paper

10.1103/PhysRevD.78.024044

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.

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