The $L^p-L^{\acute{p}}$ Estimate for the Schrödinger Equation on the Half-Line

Abstract

In this paper we prove the $L^p-L^{\acute{p}}$ estimate for the Schrödinger equation on the half-line and with homogeneous Dirichlet boundary condition at the origin.

Latex file. 13 pages. To appear in J. Math. Anal. Appl