2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97231In 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. ApplMathematical PhysicsSpectral Theory35P25, 35R30, 81U40The $L^{p}-L^{\acute{p}}$ Estimate for the Schrödinger Equation on the Half-Linetext