Adam Coffman

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20092026

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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.AP2011

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

Adam Coffman, Yifei Pan

We construct an example of a smooth map $C \to C^{2}$ which vanishes to infinite order at the origin, and such that the ratio of the norm of the $z ˉ$ derivative t…

Unique continuation for a gradient inequality with Ln potential

Smooth counterexamples to strong unique continuation for a Beltrami system in C2

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

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