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

Will Y. Lee

International Journal of Stochastic Analysis, 1991, vol. 4, 1-3

Abstract:

Garofalo and Lin have given a counterexample for which unique continuation fails for the Schrödinger equation − Δ u + c | x | 2 + ϵ u = 0 , ϵ > 0 .

Their counterexample consists of a Bessel function of the third kind K v ( | x | ) with the restriction that v cannot be an integer. In this note we have removed the restriction.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:503207

DOI: 10.1155/S1048953391000205

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