陳宜良臺灣大學：數學研究所徐義程Hsu, Yi-ChengYi-ChengHsu2007-11-282018-06-282007-11-282018-06-282007http://ntur.lib.ntu.edu.tw//handle/246246/59423In 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.1 Introduction 4 2 Notation and Preliminaries 4 2.1 Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Strichartz estimate for continuous Schr¨odinger equation . . . . 5 2.3 Strichartz estimate for semi-discrete Schr¨odinger equation . . . 8 3 Strichartz estimates for Discrete Schr¨odinger Equation 12 References 18147738 bytesapplication/pdfen-US離散薛丁格方程史特萊卡斯估計discrete schrodinger equationstrichartz estimatethesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/59423/1/ntu-96-R93221008-1.pdf