8 citations · 43 across the 16 of their papers we have counts for
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math.AP2018★ 5 cited
Generation of fine transition layers and their dynamics for the stochastic Allen--Cahn equation
Matthieu Alfaro, Dimitra Antonopoulou, Georgia Karali +1
We study an $\ep$-dependent stochastic Allen--Cahn equation with a mild random noise on a bounded domain in , . Here $\ep$ is a small positive parameter that…
math.AP2018★ 2 cited
Dynamics of Time-Periodic Reaction-Diffusion Equations with Compact Initial Support on R
Weiwei Ding, Hiroshi Matano
This paper is concerned with the asymptotic behavior of bounded solutions of the Cauchy problem \begin{equation*} \left\{ \begin{array}{ll} u_t=u_{xx} +f(t,u), & x\in\mathbb{R},\,t…