The hyperbolic Yang–Mills equation in the caloric gauge : local well-posedness and control of energy-dispersed solutions
The hyperbolic Yang–Mills equation in the caloric gauge : local well-posedness and control of energy-dispersed solutions
This is the second part in a four-paper sequence, which establishes the Threshold Conjecture and the Soliton Bubbling vs. Scattering Dichotomy for the hyperbolic Yang-Mills equation in the (4 + 1)-dimensional space-time.This paper provides the key gaugedependent analysis of the hyperbolic Yang-Mills equation.We consider topologically trivial solutions in the caloric …