Factorization of the non-stationary schrodinger operator

被引：9

作者：

Cerejeiras, Paula ^{[1
]}

Vieira, Nelson ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2007年 / 17卷 / 03期

关键词：

Nonlinear PDE's; parabolic Dirac operators; iterative methods;

D O I：

10.1007/s00006-007-0039-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a factorization of the non-stationary Schrodinger operator based on the parabolic Dirac operator introduced by Cerejeiras, Kahler 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 Schrodinger equation using Banach fixed point theorem.

引用

页码：331 / 341

页数：11

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