{ "id": "2309.11699", "version": "v1", "published": "2023-09-21T00:54:27.000Z", "updated": "2023-09-21T00:54:27.000Z", "title": "Analytic smoothing effect of Cauchy problem for a class of Kolmogorov-Fokker-Planck equations", "authors": [ "Xiao-Dong Cao", "Chao-Jiang Xu", "Yan Xu" ], "categories": [ "math.AP" ], "abstract": "We study the Cauchy problem of the Kolmogorov-Fokker-Planck equations and show that the solution enjoys an analytic smoothing effect with L2 initial datum for positive time.", "revisions": [ { "version": "v1", "updated": "2023-09-21T00:54:27.000Z" } ], "analyses": { "keywords": [ "analytic smoothing effect", "cauchy problem", "kolmogorov-fokker-planck equations", "l2 initial datum", "solution enjoys" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }