Nonlocal and nonlinear evolution equations in perforated domains
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form ut(x; t) = ∫ J(x - y)u(y; t) dy - h∑(x)u(x; t)+f(x; u(x; t)) with x in a perturbed domain Ω∑ C Ω which is thought as a fixed set Ω from where we remove a subset A∑ called the holes…
DOI: 10.1016/j.jmaa.2020.124729