Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013
Harmonic analysis
|
|
---|---|---|
Page(s) | 170 - 174 | |
DOI | https://doi.org/10.1051/mmnp/20138112 | |
Published online | 28 January 2013 |
Derivatives of Lp Eigenfunctions of Schrödinger Operators
Rice University, 6100 Main Street, Mathematics MS 136,
Houston, TX
77005,
USA
∗ Corresponding author. E-mail: milivoje.lukic@rice.edu
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 ≤ ∞.
Mathematics Subject Classification: 34L40 / 35J10
Key words: Schrödinger operators / derivatives of eigenfunctions / pointwise estimate
© EDP Sciences, 2013
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