Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support

Autor:	Kliem, Sandra
Rok vydání:	2015
Předmět:	Mathematics - Probability Primary 60H15 Secondary 35R60
Druh dokumentu:	Working Paper
Popis:	We consider the one-dimensional KPP-equation driven by space-time white noise and extend the construction of travelling wave solutions arising from Heavyside initial data from [Tribe, 1996, MR1396765] to non-negative continuous functions with compact support. As an application the existence of travelling wave solutions is used to prove that the support of any solution is recurrent. As a by-product, several upper measures are introduced that allow for a stochastic domination of any solution to the SPDE at a fixed point in time. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1508.00687 Zobrazit plný text záznamu View this record from Arxiv