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Channels of energy estimates control the energy of an initial data from thatwhich it radiates outside a light cone. For the linearised energy critical waveequation they have been obtained in the radial case in odd dimensions, first in$3$ dimensions by Duyckaerts, Kenig and Merle (Camb. J. Math., 2013), then forgeneral odd dimensions by the same authors (Comm. Math. Phys., 2020). Weconsider even dimensions, for which such estimates are known to fail (C\^ote,Kenig and Schlag, Math. Ann., 2014). We propose a weaker version of theseestimates, around a single ground state as well as around a multisoliton. Thisallows us to prove the soliton resolution conjecture in six dimensions (Collot,Duyckaerts, Kenig and Merle, arXiv preprint 2201.01848, 2022 versions 1 and 2).

On channels of energy for the radial linearised energy critical wave equation in the degenerate case