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  Large data pointwise decay for defocusing semilinear wave equations

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69D9-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69DB-8
Genre: Paper

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1002.3623 (Preprint), 115KB
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File downloaded from arXiv at 2010-03-24 14:03
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 Creators:
Bieli, Roger1, Author              
Szpak, Nikodem1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP
 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.

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 Dates: 2010-02-182010
 Publication Status: Submitted
 Pages: 9 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1002.3623
URI: http://arxiv.org/abs/1002.3623
 Degree: -

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Title: Communications on Pure and Applied Mathematics
Source Genre: Journal
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Publ. Info: New York, NY : John Wiley & Sons
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISSN: 0010-3640
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925392315