Travelling wave solutions to the KPP equation with branching noise arising from initial conditions with compact support
Autor: | Kliem, Sandra |
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Rok vydání: | 2015 |
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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 |
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