%0 Journal Article %T The $L^{p}-L^{\acute{p}}$ Estimate for the Schr£żdinger Equation on the Half-Line %A Ricardo Weder %J Mathematics %D 2003 %I arXiv %X In this paper we prove the $L^{p}-L^{\acute{p}}$ estimate for the Schr\"{o}dinger equation on the half-line and with homogeneous Dirichlet boundary condition at the origin. %U http://arxiv.org/abs/math-ph/0301012v1