Strichartz Estimate for Discrete Schrodinger Equation

碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this paper we show the Strichartz estimate to the discrete Schr"{o}dinger equation. The continuous Strichartz is essential for the proof of the existence of solution of nonlinear Schr"{o}dinger equation in some function space[3]. It is believed that th...

Full description

Bibliographic Details
Main Authors: Yi-Cheng Hsu, 徐義程
Other Authors: 陳宜良
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/87106837554524210879
Description
Summary:碩士 === 國立臺灣大學 === 數學研究所 === 95 === In this paper we show the Strichartz estimate to the discrete Schr"{o}dinger equation. The continuous Strichartz is essential for the proof of the existence of solution of nonlinear Schr"{o}dinger equation in some function space[3]. It is believed that this is also a key step to the proof of the convergence for finite difference method for nonlinear Schrodinger equation.