S. Bortz

activity

20152026

most citedNon-local self-improving properties: A functional analytic approach

26 citations · 52 across the 26 of their papers we have counts for

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Showing 2025 · math.APShow all

2 papers · 2 filters

math.AP2025

Solvability of the $L^{p}$ Dirichlet problem for the heat equation implies parabolic uniform rectifiability

Simon Bortz, Steven Hofmann, José María Martell +1

Let $Ω \subset R^{n + 1}$ be an open set in space-time with boundary $Σ = \partial Ω$ . Under minimal and natural background assumptions - namely, that $Σ$ is time-symmetricall…

math.AP2025

A Variable Coefficient Free Boundary Problem for $L^{p}$ -solvability of Parabolic Dirichlet Problems in Graph Domains

Simon Bortz, Sandra Ferris, Pablo Hidalgo-Palencia +1

We investigate variable coefficient analogs of a recent work of Bortz, Hofmann, Martell and Nyström [BHMN25]. In particular, we show that if $Ω$ is the region above the graph of a…

Solvability of the Lp Dirichlet problem for the heat equation implies parabolic uniform rectifiability

A Variable Coefficient Free Boundary Problem for Lp-solvability of Parabolic Dirichlet Problems in Graph Domains

Solvability of the $L^{p}$ Dirichlet problem for the heat equation implies parabolic uniform rectifiability

A Variable Coefficient Free Boundary Problem for $L^{p}$ -solvability of Parabolic Dirichlet Problems in Graph Domains