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Large data pointwise decay for defocusing semilinear wave equations

MPS-Authors
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Bieli,  Roger
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Szpak,  Nikodem
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1002.3623
(Preprint), 115KB

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Citation

Bieli, R., & Szpak, N. (submitted). Large data pointwise decay for defocusing semilinear wave equations.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-69D9-C
Abstract
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.