caa a22 4500 606193782 CHVBK 20210128100911.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00030-014-0279-9 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0279-9 Stochastic traveling wave solution to stochastic generalized KPP equation [Elektronische Daten] [Zhehao Huang, Zhengrong Liu] In this paper, we consider a stochastic generalized KPP equation driven by a white noise term. Denote u the solution to the equation with Heaviside initial condition $${u_{0}(x) = \chi_{(-\infty,0]}(x)}$$ u 0 ( x ) = χ ( - ∞ , 0 ] ( x ) . Choosing a suitable marker of wavefront R(t), we prove that $${u(t,\cdot+R(t))}$$ u ( t , · + R ( t ) ) is a stationary process and $${\lim_{t\rightarrow\infty}R(t)/t}$$ lim t → ∞ R ( t ) / t exists almost surely, which verify the existence of stochastic traveling wave solution to the equation. Springer Basel, 2014 Wavefront nationallicence Stationary process nationallicence Stochastic traveling wave solution nationallicence Stochastic generalized KPP equation nationallicence Huang Zhehao Department of Mathematics, South China University of Technology, 510640, Guangzhou, Guangdong, People's Republic of China aut Liu Zhengrong Department of Mathematics, South China University of Technology, 510640, Guangzhou, Guangdong, People's Republic of China aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/1(2015-02-01), 143-173 1021-9722 22:1<143 2015 22 30 https://doi.org/10.1007/s00030-014-0279-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0279-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Huang Zhehao Department of Mathematics, South China University of Technology, 510640, Guangzhou, Guangdong, People's Republic of China aut NATIONALLICENCE 700 1- Liu Zhengrong Department of Mathematics, South China University of Technology, 510640, Guangzhou, Guangdong, People's Republic of China aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/1(2015-02-01), 143-173 1021-9722 22:1<143 2015 22 30