Radiation fields for semilinear wave equations Academic Article uri icon

abstract

  • ©2015 American Mathematical Society. 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.

author list (cited authors)

  • Baskin, D., & Barreto, A. S.

citation count

  • 3

publication date

  • February 2015