Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 367, Issue 6, Pages 3873-3900Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-2015-06061-9
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Funding
- NSF
- [DMS-1103436]
- [DMS-0901334]
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We define the radiation fields of solutions to critical semilinear wave equations in R-3 and use them to define the scattering operator. We also prove a support theorem for the radiation fields with radial initial data. This extends the well-known support theorem for the Radon transform to this setting and can also be interpreted as a Paley-Wiener theorem for the distorted nonlinear Fourier transform of radial functions.
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