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Derivatives of LpEigenfunctions of Schrödinger Operators

Published online by Cambridge University Press:  28 January 2013

M. Lukic
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Abstract

Assuming the negative part of the potential is uniformly locallyL1, we prove a pointwiseLp estimate on derivatives ofeigenfunctions of one-dimensional Schrödinger operators. In particular, if aneigenfunction is in Lp, then so is itsderivative, for 1 ≤ p ≤ ∞.

Keywords

Schrödinger operatorsderivatives of eigenfunctionspointwise estimate
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 170 - 174
Copyright
© EDP Sciences, 2013

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