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arXiv · 1208.2743

Radiation fields for semilinear wave equations

Dean Baskin·Antônio Sá Barreto
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Abstract

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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Dean Baskin, Antônio Sá Barreto. 2012-12-19. Radiation fields for semilinear wave equations. https://arxiv.org/abs/1208.2743

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