We prove a microlocal partition of energy for solutions to linear half-wave or
Schrödinger equations in any space dimension. This extends well-known (local)
results valid for the wave equation outside the wave cone, and allows us in particular,
in the case of even dimension, to generalize the radial estimates due to Côte, Kenig
and Schlag to nonradial initial data.
Keywords
wave equation, Schrödinger equation, channels of energy,
microlocal analysis
