Smooth Counterexamples to Strong Unique Continuation for a Beltrami System in C2
Communications in Partial Differential Equations
Taylor & Francis
We construct an example of a smooth map C to C2 which vanishes to infinite order at the origin, and such that the ratio of the norm of the z-bar derivative to the norm of the z derivative also vanishes to infinite order. This gives a counterexample to strong unique continuation for a vector valued analogue of the Beltrami equation.
Elliptic Systems of Partial Differential Equations, Unique Continuation
Analysis | Mathematics
Adam Coffman and Yifei Pan (2012).
Smooth Counterexamples to Strong Unique Continuation for a Beltrami System in C2. Communications in Partial Differential Equations.37 (12), 2228-2244. Taylor & Francis.