{ "id": "1401.3822", "version": "v3", "published": "2014-01-16T03:46:17.000Z", "updated": "2014-07-08T21:47:43.000Z", "title": "Global solutions for semilinear Klein-Gordon equations in FLRW spacetimes", "authors": [ "Anahit Galstian", "Karen Yagdjian" ], "categories": [ "math.AP", "math-ph", "math.MP" ], "abstract": "We consider waves, which obey the semilinear Klein-Gordon equation, propagating in the Friedmann-Lemaitre-Robertson-Walker spacetimes. The equations in the de Sitter and Einstein-de Sitter spacetimes are the important particular cases. We show the global in time existence in the energy class of solutions of the Cauchy problem.", "revisions": [ { "version": "v3", "updated": "2014-07-08T21:47:43.000Z" } ], "analyses": { "subjects": [ "35L70", "35Q75", "35R01" ], "keywords": [ "semilinear klein-gordon equation", "flrw spacetimes", "global solutions", "einstein-de sitter spacetimes", "energy class" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1278253, "adsabs": "2014arXiv1401.3822G" } } }