Explicit formula of radiation fields of free waves with applications on channel of energy

Abstract

In this work we give a few explicit formulas regarding the radiation fields of linear free waves. We then apply these formulas on the channel of energy theory. We characterize all the radial weakly non-radiative solutions in all dimensions and give a few new exterior energy estimates.

arXiv comment26 pages, 1 figure

References in corpus (4)

• On the Energy Subcritical, Non-linear Wave Equation with Radial Data for $p\in (3,5)$
• Soliton resolution for critical co-rotational wave maps and radial cubic wave equation
• Decay estimates for nonradiative solutions of the energy-critical focusing wave equation
• Asymptotic bahavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions