Null structure and local well-posedness in the energy class for the Yang–Mills equations in Lorenz gauge
Null structure and local well-posedness in the energy class for the Yang–Mills equations in Lorenz gauge
We demonstrate null structure in the Yang–Mills equations in Lorenz gauge. Such structure was found in Coulomb gauge by Klainerman and Machedon, who used it to prove global wellposedness for finite-energy data in the temporal gauge by passing to local Coulomb gauges via Uhlenbeck’s Lemma. Compared with the Coulomb gauge, …