Titre : Regular Solutions for the relativistic Boltzmann equation in Yang-Mills field Auteurs : Dongo David, Nguelemo Kenfack Abel, Revue : Advances in Pure and Applied Mathematics Numéro : Issue 1 (May 2020) Volume : 11 Date : 2020/07/3 DOI : 10.21494/ISTE.OP.2020.0541 ISSN : 1869-6090 Résumé : We consider in this work the Boltzmann equation in the presence of a Yang-Mills fields in temporal gauge, which generalizes to the non-Abelian case the electromagnetic field. We prove, using the method presented by N. Noutchegueme and R. D. Ayissi [2], a local in time existence and uniqueness theorem for the regular solutions. Éditeur : ISTE OpenScience