2 papers
math.AP2026
Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions
Simon Bortz, Pablo Hidalgo-Palencia, Steve Hofmann +1
We show that the parabolic uniform rectifiability of a set can be characterized by an interior PDE property, namely Carleson measure estimates for bounded solutions to the heat equ…
math.AP2025
A Characterization of Solvability of the Parabolic Dirichlet Problem on Lipschitz Graph Domains Via Carleson Measure Estimates of Bounded Solutions
James Warta, Steve Hofmann
In this paper, we show that if the bounded solutions to the parabolic Dirichlet problem on a Lipshitz- domain obey a Carleson measure estimate, then the…