摘要：There has been much interest in nonlocal models associated with a finite horizon parameter that characterizes the effective range of nonlocal interactions. For such models defined on a bounded domain, it is an important topic to study their mathematical formulations near or at the domain boundary. This lecture will mainly offer an overview of related works. We will discuss a few possibilities for imposing suitable local or nonlocal boundary conditions to complement the nonlocal equations prescribed in the interior of the domain. We will also present recent development in the mathematical and numerical analysis of the resulting problems and their impact on practical applications.