3 papers
math.AP2011
Smooth counterexamples to strong unique continuation for a Beltrami system in
Adam Coffman, Yifei Pan
We construct an example of a smooth map which vanishes to infinite order at the origin, and such that the ratio of the norm of the derivative t…
math.CV2009
Some nonlinear differential inequalities and an application to Hölder continuous almost complex structures
Adam Coffman, Yifei Pan
We consider some second order quasilinear partial differential inequalities for real valued functions on the unit ball and find conditions under which there is a lower bound for th…
math.CV2009
CR singularities of real fourfolds in
Adam Coffman
CR singularities of real 4-submanifolds in complex 3-space are classified by using local holomorphic coordinate changes to transform the quadratic coefficients of the real analytic…