8 citations · 15 across the 4 of their papers we have counts for
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Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications
Wenxian Shen, Xiaoxia Xie
In this paper, we study the spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions subject to Dirichlet type, Neumann type and spatial peri…
A regularity result for the nonlocal Fokker-Planck equation with Ornstein-Uhlenbeck drift
Xiaoxia Xie, Jinqiao Duan, Xiaofan Li +1
Despite there are numerous theoretical studies of stochastic differential equations with a symmetric -stable Lévy noise, very few regularity results exist in the case of $0<α\le…
Approximations of Random Dispersal Operators/Equations by Nonlocal Dispersal Operators/Equations
Wenxian Shen, Xiaoxia Xie
This paper is concerned with the approximations of random dispersal operators/equations by nonlocal dispersal operators/equations. It first proves that the solutions of properly re…
On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications
Wenxian Shen, Xiaoxia Xie
This paper is to investigate the dependence of the principal spectrum points of nonlocal dispersal operators on underlying parameters and to consider its applications. In particula…