B. Street

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math.AP2026

Non-uniqueness for a differential equation and a proof by ChatGPT

Brian Street

Let $f (t, x), M (t, x) \in C ([0, 1]^{2})$ with $M (t, x) > 0$ . We consider differential equations of the form \[ \frac{\partial f}{\partial t}(t,x)=\frac{M(t,x)f(t,x)-M(t,0)f(t,0)}{x},\quad x>…

math.AP2026

Function spaces and trace theorems for maximally subelliptic boundary value problems

Brian Street

We introduce Besov and Triebel--Lizorkin spaces on a manifold with boundary adapted to HÃ¶rmander vector fields, near a so-called non-characteristic point of the boundary. We prove…

math.AP2026

Hypoellipticity and Higher Order Gaussian Bounds

Brian Street

Let $(M, I ¨ , I^¼)$ be a metric measure space satisfying a doubling condition, $p_{0} \in (1, \infty)$ , and $T (t) : L^{p_{0}} (M, I^¼) \to L^{p_{0}} (M, I^¼)$ ,…