Math. Model. Nat. Phenom.
Volume 8, Number 1, 2013Harmonic analysis
|Page(s)||170 - 174|
|Published online||28 January 2013|
Derivatives of Lp Eigenfunctions of Schrödinger Operators
Rice University, 6100 Main Street, Mathematics MS 136,
∗ Corresponding author. E-mail: email@example.com
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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