Large data pointwise decay for defocusing semilinear wave equations

Details Large data pointwise decay for defocusing semilinear wave equations Large data pointwise decay for defocusing semilinear wave equations

2010-02-18

arxiv.org/abs/1002.3623v1

Mathematics

Analysis of PDEs

9 pages

Scientific paper

We generalize the pointwise decay estimates for large data solutions of the defocusing semilinear wave equations which we obtained earlier under restriction to spherical symmetry. Without the symmetry the conformal transformation we use provides only a weak decay. This can, however, in the next step be improved to the optimal decay estimate suggested by the radial case and small data results. This is the first result of that kind.

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