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math.AP2018★ 1 cited
The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect
Kai Du, Rui Peng, Ningkui Sun
It is known that a species dies out in the long run for small initial data if its evolution obeys a reaction of bistable nonlinearity. Such a phenomenon, which is termed as the str…
math.AP2015★ 3 cited
On the Cauchy problem for stochastic parabolic equations in Hölder spaces
Kai Du, Jiakun Liu
In this paper, we establish a sharp -theory for stochastic partial differential equations of parabolic type in the whole space.
math.AP2015
A Schauder estimate for stochastic PDEs
Kai Du, Jiakun Liu
Considering stochastic partial differential equations of parabolic type with random coefficients in vector-valued Hölder spaces, we obtain a sharp Schauder estimate. As an applicat…