David Bowman

activity

20162026

collaborators

4 papers

math.AP2026

Harnack inequality for non-uniformly elliptic equations in non-divergence form

David Bowman

We study regularity properties for solutions to the nakedly degenerate elliptic equation $a_{ij} \partial_{ij} u = 0$ , where the coefficients satisfy $I \geq a_{ij} (x) \geq λ (x) I$ and…

math.AP2025

Hypoelliptic Regularization in the Obstacle Problem for the Kolmogorov Operator

David Bowman

We study the obstacle problem associated with the Kolmogorov operator $Δ_{v} - \partial_{t} - v \cdot \nabla_{x}$ , which arises from the theory of optimal control in Asian-American options…

math.AG2023

A construction of deformations to general algebras

Dave Bowman, Dora Puljic, Agata Smoktunowicz

One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but…

math.CV2016

Holomorphic Flexibility Properties of Spaces of Elliptic Functions

David Bowman

Let $X$ be an elliptic curve and $P$ the Riemann sphere. Since $X$ is compact, it is a deep theorem of Douady that the set $O (X, P)$ consisting of holomo…