When solutions of the stationary Schrödinger equation in a half-space belong to the weighted Lebesgue classes, we give integral representations of them, which imply known representation theorems of classical harmonic functions in a half-space.
"Solving Integral Representations Problems for the Stationary Schrödinger Equation." Abstr. Appl. Anal. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/715252