Upper semicontinuity for a class of nonlocal evolution equations with Neumann condition

Flank D. M. Bezerra, Silvia Sastre-Gomez, Severino H. da Silva

In this paper we consider the following nonlocal autonomous evolution equation in a bounded domain $\Omega$ in ${\mathbb{R}}^N$ \[ \partial_t u(x,t) =- h(x)u(x,t) + g \Big(\int_Ω J(x,y)u(…