We construct an example of a one-dimensional parabolic integro-differential equation with nonlocal diffusion which does not have asymptotically finite-dimensional dynamics in the corresponding state space. This example is more natural in the class of evolutionary equations of parabolic type than those known earlier.
The Bramson correction for Fisher--KPP equations with nonlocal diffusion
Large time behaviour of solutions to parabolic equations with Dirichlet operators and nonlinear dependence on measure data
Biological invasions and epidemics with nonlocal diffusion along a line
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