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• W2807910071 abstract "We consider the one-dimensional KPP-equation driven by space-time white noise. We show that for all parameters above the critical value for survival, there exist stochastic wavelike solutions which travel with a deterministic positive linear speed. We further give a sufficient condition on the initial condition of a solution to attain this speed. Our approach is in the spirit of corresponding results for the nearest-neighbor contact process respectively oriented percolation. Here, the main difficulty arises from the moderate size of the parameter and the long range interaction. Stopping times and averaging techniques are used to overcome this difficulty." @default.
• W2807910071 created "2018-06-21" @default.
• W2807910071 creator A5066258080 @default.
• W2807910071 date "2018-06-15" @default.
• W2807910071 modified "2023-09-27" @default.
• W2807910071 title "Right marker speeds of solutions to the KPP equation with noise" @default.
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