2015/08/04 by Sandra Kliem, SM Sandra Kliem, Kliem, Sandra
Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Physics Problems #Applied mathematics #Computer science #FOS: Mathematics #Geometry #Mathematical analysis #Mathematics #Noise (video) #Point (geometry) #Primary 60H15 #Probability (math.PR) #Random Matrices and Applications #Secondary 35R60 #Space (punctuation) #Statistics #Stochastic processes and financial applications #Stochastic processes and statistical mechanics #Traveling wave #Wave equation #White noise #math.PR #msc:35R60 #msc:60H15
paper · pdf · doi:10.48550/arxiv.1508.00687
28 pages
arxiv created 2015/08/04 · openalex publication_date 2015/08/04 · arxiv updated 2015/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the one-dimensional KPP-equation driven by space-time white noise\nand extend the construction of travelling wave solutions arising from Heavyside\ninitial data from [Tribe, 1996, MR1396765] to non-negative continuous functions\nwith compact support. As an application the existence of travelling wave\nsolutions is used to prove that the support of any solution is recurrent. As a\nby-product, several upper measures are introduced that allow for a stochastic\ndomination of any solution to the SPDE at a fixed point in time.\n