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math.AP2017★ 8 cited
Time averaging for nonautonomous/random linear parabolic equations
Janusz Mierczyński, Wenxian Shen
Linear nonautonomous/random parabolic partial differential equations are considered under the Dirichlet, Neumann or Robin boundary conditions, where both the zero order coefficient…
math.DS2017
Asymptotic behavior of semilinear parabolic equations on the circle with time almost-periodic/recurrent dependence
Wenxian Shen, Yi Wang, Dun Zhou
We study topological structure of the -limit sets of the skew-product semiflow generated by the following scalar reaction-diffusion equation \begin{equation*} u_{t}=u_{xx}+f(t,u…