Factorization of the Non-Stationary Schrödinger Operator

被引：0
|
作者：
Paula Cerejeiras
Nelson Vieira
机构：
[1] University of Aveiro,Department of Mathematics
来源：
Advances in Applied Clifford Algebras | 2007年 / 17卷
关键词：
Primary 30G35; Secondary 35A08, 15A66; Nonlinear PDE’s; parabolic Dirac operators; iterative methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a factorization of the non-stationary Schrödinger operator based on the parabolic Dirac operator introduced by Cerejeiras, Kähler and Sommen. Based on the fundamental solution for the parabolic Dirac operators, we shall construct appropriated Teodurescu and Cauchy-Bitsadze operators. Afterwards we will describe how to solve the nonlinear Schrödinger equation using Banach fixed point theorem.
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页码：331 / 341
页数：10
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