Journal of Applied Mathematics and Stochastic Analysis 
Volume 4 (1991), Issue 3, Pages 259-261
doi:10.1155/S1048953391000205

On a counterexample of Garofalo - Lin for a unique continuation of Schrödinger equation

Will Y. Lee

 Departrnent of Mathematical Sciences, Rutgers University-Camden, Camden 08102, N. J. , USA
Received 1 October 1990; Revised 1 January 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.