Adam Coffman

activity

20092026

collaborators

8 papers

math.CA2026

Constructing Discontinuous but Locally Bounded Rational Functions using Łojasiewicz 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.AP2024

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 $R^{n}$ .…

math.GT2017

Removing Isolated Zeroes by Homotopy

Adam Coffman, Jiří Lebl

Suppose that the inverse image of the zero vector by a continuous map $f : R^{n} \to R^{q}$ has an isolated point $P$ . There is a local obstruction to removing this iso…

math.CV2014

Continuous solutions of nonlinear Cauchy-Riemann equations and pseudoholomorphic curves in normal coordinates

Adam Coffman, Yifei Pan, Yuan Zhang

We establish elliptic regularity for nonlinear inhomogeneous Cauchy-Riemann equations under minimal assumptions, and give a counterexample in a borderline case. In some cases where…

math.MG2012

Weighted Projective Spaces and a Generalization of Eves' Theorem

Adam Coffman

For a certain class of configurations of points in space, Eves' Theorem gives a ratio of products of distances that is invariant under projective transformations, generalizing the…

math.AP2011

Smooth counterexamples to strong unique continuation for a Beltrami system in $C^{2}$