Field extensions and extensions of linear differential operators

被引：0
|
作者：
Vinogradov, MM [1 ]
机构：
[1] Diffiety Inst, Pereslavl Zalessky, Russia
[2] Inst Econ Forecasting, Moscow, Russia
来源：
ACTA APPLICANDAE MATHEMATICAE | 1997年 / 49卷 / 03期
关键词：
differential operator; jets; field extensions; prolongations of derivations; extensions of linear differential operators;
D O I：
10.1023/A:1005802708344
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let K subset of R subset of P be a tower of fields, N be a P-module, and Delta:R --> N be a K-linear differential operator. The aim of this paper is to investigate whether the operator Delta has an extension to P, i.e. if these exists a differential operator Delta':P --> N such that Delta'\(R) = Delta. The results of this paper were published in Russian in Mat. Zametki 30(2) (1981), 237-248.
引用
收藏
页码：271 / 280
页数：10
相关论文
共 50 条
12345