{ "id": "0908.1196", "version": "v2", "published": "2009-08-08T22:08:03.000Z", "updated": "2010-02-27T16:41:16.000Z", "title": "A Note on Wave Equation in Einstein & de Sitter Spacetime", "authors": [ "Anahit Galstian", "Tamotu Kinoshita", "Karen Yagdjian" ], "journal": "J.Math.Phys.51:052501,2010", "doi": "10.1063/1.3387249", "categories": [ "math-ph", "math.AP", "math.MP" ], "abstract": "We consider the wave propagating in the Einstein & de Sitter spacetime. The covariant d'Alembert's operator in the Einstein & de Sitter spacetime belongs to the family of the non-Fuchsian partial differential operators. We introduce the initial value problem for this equation and give the explicit representation formulas for the solutions. We also show the $L^p - L^q$ estimates for solutions.", "revisions": [ { "version": "v2", "updated": "2010-02-27T16:41:16.000Z" } ], "analyses": { "subjects": [ "35Q75", "35L15", "04.20.Gz", "03.65.Ge" ], "keywords": [ "wave equation", "non-fuchsian partial differential operators", "covariant dalemberts operator", "sitter spacetime belongs", "initial value problem" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2010, "month": "May", "volume": 51, "number": 5, "pages": 2501 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 828207, "adsabs": "2010JMP....51e2501G" } } }