Radiation fields for semilinear wave equations Academic Article uri icon

abstract

  • We define the radiation fields of solutions to critical semilinear wave equations in R 3 mathbb {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.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Baskin, D., & Barreto, A. S.

citation count

  • 5

complete list of authors

  • Baskin, Dean||Barreto, Antônio Sá

publication date

  • February 2015