3 papers
math.AP2026
Capacitary estimates for solutions to nonlocal Dirichlet problems
Minhyun Kim, Se-Chan Lee, Marvin Weidner
We study the boundary regularity of weak solutions to nonlocal nonlinear elliptic equations with bounded measurable coefficients. Our main result establishes that a capacity densit…
math.AP2025
Nonnegative solutions to nonlocal parabolic equations
Naian Liao, Marvin Weidner
We aim to study nonnegative, global solutions to a general class of nonlocal parabolic equations with bounded measurable coefficients. First, we prove a Widder-type theorem. Such a…
math.AP2025
Time-insensitive nonlocal parabolic Harnack estimates
Naian Liao, Marvin Weidner
We establish new Harnack estimates that defy the waiting-time phenomenon for global solutions to nonlocal parabolic equations. Our technique allows us to consider general nonlocal…