{ "id": "1203.3921", "version": "v1", "published": "2012-03-18T06:54:30.000Z", "updated": "2012-03-18T06:54:30.000Z", "title": "Hitting times for the stochastic wave equation with fractional-colored noise", "authors": [ "Jorge Clarke De La Cerda", "Ciprian Tudor" ], "categories": [ "math.PR" ], "abstract": "We give sharp regularity results for the solution to the stochastic wave equation with linear fractional-colored noise. We apply these results in order to establish upper and lower bound for the hitting probabilities of the solution in terms of the Hausdorff measure and of the Newtonian capacity.", "revisions": [ { "version": "v1", "updated": "2012-03-18T06:54:30.000Z" } ], "analyses": { "keywords": [ "stochastic wave equation", "hitting times", "sharp regularity results", "hausdorff measure", "newtonian capacity" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1203.3921C" } } }