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

[摘要] 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 kindKv(|x|)with the restriction thatvcannot be an integer. In thisnote we have removed the restriction.

[学科分类] 应用数学