{ "id": "1706.06235", "version": "v1", "published": "2017-06-20T01:36:59.000Z", "updated": "2017-06-20T01:36:59.000Z", "title": "The global existence of solutions of the Boltzmann equation for Bose-Einstein particles with anisotropic initial data", "authors": [ "Wenyi Li", "Xuguang Lu" ], "categories": [ "math.AP" ], "abstract": "In this paper we prove the global in time existence and uniqueness of solutions of the Boltzmann equation for Bose-Einstein particles for hard potentials for bounded anisotropic initial data with very high temperature condition. The main technique we used is the multi-step iterations of the collisional gain operator, which together with the global well-posedness of an intermediate equation enables us to prove the main result of the paper.", "revisions": [ { "version": "v1", "updated": "2017-06-20T01:36:59.000Z" } ], "analyses": { "keywords": [ "boltzmann equation", "bose-einstein particles", "global existence", "bounded anisotropic initial data", "high temperature condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }