Article contents
Derivatives of Lp Eigenfunctions of Schrödinger Operators
Published online by Cambridge University Press: 28 January 2013
Abstract
Assuming the negative part of the potential is uniformly locally L1, we prove a pointwise Lp estimate on derivatives of eigenfunctions of one-dimensional Schrödinger operators. In particular, if an eigenfunction is in Lp, then so is its derivative, for 1 ≤ p ≤ ∞.
- Type
- Research Article
- Information
- Mathematical Modelling of Natural Phenomena , Volume 8 , Issue 1: Harmonic analysis , 2013 , pp. 170 - 174
- Copyright
- © EDP Sciences, 2013
References
- 1
- Cited by