On a counterexample of Garofalo-Lin for a unique continuation of Schrödinger equation (Q1180688)
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scientific article; zbMATH DE number 26419
| Language | Label | Description | Also known as |
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| English | On a counterexample of Garofalo-Lin for a unique continuation of Schrödinger equation |
scientific article; zbMATH DE number 26419 |
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On a counterexample of Garofalo-Lin for a unique continuation of Schrödinger equation (English)
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27 June 1992
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Summary: \textit{N. Garofalo} and \textit{F. Lin} [Indiana Univ. Math. J. 35, 245-268 (1986; Zbl 0678.35015)] have given a counterexample for which unique continuation fails for the Schrödinger equation \[ -\Delta u+(c/| x|^{2+\varepsilon})u=0, \varepsilon>0. \] 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.
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counterexample
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unique continuation
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Schrödinger equation
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inverse square potential
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