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Global, non-scattering solutions to the energy critical Yang–Mills problem

Global, non-scattering solutions to the energy critical Yang–Mills problem

We consider the Yang–Mills problem on [Formula: see text] with gauge group [Formula: see text]. In an appropriate equivariant reduction, this Yang–Mills problem reduces to a single scalar semilinear wave equation. This semilinear equation admits a one-parameter family of solitons, each of which is a re-scaling of a fixed solution. …