On a counterexample of Garofalo - Lin for a unique continuation of Schrödinger equation
Will Y. Lee1
Received01 Oct 1990
Revised01 Jan 1991
Abstract
Garofalo and Lin have given a counterexample for which
unique continuation fails for the Schrödinger equation
−Δu+c|x|2+ϵu=0, ϵ>0.Their counterexample consists of a Bessel function of the third
kind Kv(|x|) with the restriction that v cannot be an integer. In this
note we have removed the restriction.