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math.AP2014★ 3 cited
Approximation of the inertial manifold for a nonlocal dynamical system
Xingjie Yan, Jinchun He, Jinqiao Duan
We consider inertial manifolds and their approximation for a class of partial differential equations with a nonlocal Laplacian operator , with . The nonlo…
math.AP2014
Impacts of Noise on a Class of Partial Differential Equations
Guangying Lv, Jinqiao Duan
This paper is concerned with effects of noise on the solutions of partial differential equations. We first provide a sufficient condition to ensure the existence of a unique positi…