David Bowman

activity

20162026

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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…