Radiation fields for semilinear wave equations

الأصل · EN

We define the radiation fields of solutions to critical semilinear wave equations in R³ 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.