An estimate for solutions to the Schrodinger equation
Date
2004-03-10
Authors
Makin, Alexander
Thompson, Bevan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this note, we find a priori estimates in the L<sub>2</sub>-norm for solutions to the Schrödinger equation with a parameter. It is shown that a constant occurring in the inequality does not depend on the value of the parameter. In particular, the estimate is valid for eigenfunctions associated with the Schrödinger operator with arbitrary boundary conditions.
Description
Keywords
Schrodinger operator, Spectral parameter, Eigenfunction
Citation
Makin, A., & Thompson, B. (2004). An estimate for solutions to the Schrodinger equation. <i>Electronic Journal of Differential Equations, 2004</i>(34), pp. 1-8.
Rights
Attribution 4.0 International