Geodesic
Derivatives of Lp Eigenfunctions of Schrödinger Operators
M. Lukic1
1 Rice University, 6100 Main Street, Mathematics MS 136, Houston, TX 77005, USA
Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 170-174.

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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 ≤ ∞.
DOI : 10.1051/mmnp/20138112

M. Lukic 1

1 Rice University, 6100 Main Street, Mathematics MS 136, Houston, TX 77005, USA 
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M. Lukic. Derivatives of Lp Eigenfunctions of Schrödinger Operators. Mathematical modelling of natural phenomena, Tome 8 (2013) no. 1, pp. 170-174. doi : 10.1051/mmnp/20138112. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20138112/

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