On a Counterexample of Garofalo – Lin for a Unique Continuation of Schrödinger Equation

Will Y. Lee

doi:10.1155/S1048953391000205

On a Counterexample of Garofalo – Lin for a Unique Continuation of Schrödinger Equation

Will Y. Lee

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Garofalo and Lin have given a counterexample for which unique continuation fails for the Schrödinger equation [formula omitted] Their counterexample consists of a Bessel function of the third kind [formula omitted] with the restriction that ν cannot be an integer. In this note we have removed the restriction.

Original language	English (US)
Pages (from-to)	259-261
Number of pages	3
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	4
Issue number	3
DOIs	https://doi.org/10.1155/S1048953391000205
State	Published - 1991

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
Applied Mathematics

Keywords

Bessel Function of the Third Kind
Inverse Square Potential
Schrödinger Equation
Unique Continuation

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10.1155/S1048953391000205

Cite this

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abstract = "Garofalo and Lin have given a counterexample for which unique continuation fails for the Schr{\"o}dinger equation [formula omitted] Their counterexample consists of a Bessel function of the third kind [formula omitted] with the restriction that ν cannot be an integer. In this note we have removed the restriction.",

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KW - Inverse Square Potential

KW - Schrödinger Equation

KW - Unique Continuation

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On a Counterexample of Garofalo – Lin for a Unique Continuation of Schrödinger Equation

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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