On a counterexample of Garofalo - Lin for a unique continuation of Schrödinger equation. (1991)

• Record Type: Journal Article
• Authors: Lee, Will Y.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 3(1991)
• Page Start: 259
• Page End: 261
• Publication Date: 1991
• Subjects: Schrödinger equation -- unique continuation -- Bessel function of the third kind -- inverse square potential; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000205
• Languages: English
• ISSNs: 1048-9533

Abstract

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.