Simon Bortz

collaborators

3 papers

math.AP2024

A stability result for parabolic measures of operators with singular drifts

Simon Bortz, Moritz Egert, Olli Saari

We study the operator \[ \partial_t - \text{div} A \nabla + B \cdot \nabla \] in parabolic upper-half-space, where $A$ is an elliptic matrix satisfying an oscillation condition and…

math.AP2023

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains

Simon Bortz, Bruno Poggi, Olli Tapiola +1

Suppose that $Ω \subset R^{n + 1}$ , $n \geq 1$ , is a uniform domain with $n$ -Ahlfors regular boundary and $L$ is a (not necessarily symmetric) divergence form elliptic, real, bou…

math.AP2023

Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates

Simon Bortz, Steve Hofmann, José Luis Luna Garcia +2

This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators $- div A \nabla$ by first and zero order…

A stability result for parabolic measures of operators with singular drifts

The A∞​ condition, ε-approximators, and Varopoulos extensions in uniform domains

Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates

The $A_{\infty}$ condition, $ε$ -approximators, and Varopoulos extensions in uniform domains