3 papers
math.FA2025
On the domains of first order differential operators on the SierpiÅski gasket
Waldemar Schefer
We study the first order structure of -differential one-forms on the SierpiÅski gasket. We consider piecewise energy finite functions related to one-forms, normal parts, and…
math.AP2025
Optimal Hölder regularity for solutions to Signorini-type obstacle problems
Ki-Ahm Lee, Se-Chan Lee, Waldemar Schefer
We study the existence, uniqueness, and regularity of weak solutions to a class of obstacle problems, where the obstacle condition can be imposed on a subset of the domain. In part…
math.AP2024
On equations of continuity and transport type on metric graphs and fractals
Michael Hinz, Waldemar Schefer
We study first order equations of continuity and transport type on metric spaces of martingale dimension one, including finite metric graphs, p.c.f. self-similar sets and classical…