It has been argued previously [1-3] that a first-order invariant covering theory of Maxwell’s electromagnetism (EM) originally proposed by Hertz [4] provides not only a formally more comprehensive approach to EM description but one that is more competent to describe the weak-field (single photon) limit. This claim depends on a specific physical interpretation of the Galilean invariant formalism...

This paper aims at studying the inelastic Boltzmann equation without Grad’s angular cutoff assumption, where well-posedness theory of Cauchy problem is established for Maxwellian molecules in a space probability measure defined by Cannone and Karch [Commun. Pure Appl. Math. 63, 747–778 (2010)] via Fourier transform infinite energy solutions are not priori excluded. The key strategy to construct...