Adam Coffman

collaborators

2 papers

math.CA2026

Constructing Discontinuous but Locally Bounded Rational Functions using Åojasiewicz Inequalities

Adam Coffman, Yifei Pan

For real multivariate polynomials $P$ and $Q$ both vanishing at a point, if the zero set of $Q$ is contained in the zero set of $P$ , then there exists a rational function of the fo…

math.AP2025

Unique continuation for a gradient inequality with $L^{n}$ potential

Adam Coffman, Yifei Pan, Yuan Zhang

We establish a unique continuation property for solutions of the differential inequality $∣\nabla u ∣ \leq V ∣ u ∣$ , where $V$ is locally $L^{n}$ integrable on a domain in $R^{n}$ .…

Constructing Discontinuous but Locally Bounded Rational Functions using Åojasiewicz Inequalities

Unique continuation for a gradient inequality with Ln potential

Constructing Discontinuous but Locally Bounded Rational Functions using Åojasiewicz Inequalities

Unique continuation for a gradient inequality with $L^{n}$ potential