2 papers
math.AP2026
Nonlocal Boundary Conditions for Truncated-Fractional Differential Equations Posed on Bounded Domains
Mikil Foss, Adam Larios, Michael Pieper
Nonlocal models have found great success in recent years. In particular, models that replace spatial derivatives with strongly singular integral operators involving finite interact…
math.AP2024
Nonlocal Differential Operators with Integrable, Nonsymmetric Kernels: Part I--Operator Theoretic Properties
Mikil Foss, Michael Pieper
Recent decades have provided a host of examples and applications motivating the study of nonlocal differential operators. We discuss a class of such operators acting on bounded dom…