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 $-(-\Delta {)}^{\frac{\alpha }{2}}$, with $0<\alpha <2$. The nonlo…