A transformation of PDE systems related to the Drach theorem

被引：3
|
作者：
Alonso-Blanco, RJ [1 ]
机构：
[1] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 02期
关键词：
PDE systems; transformation; contact element; jet; symplectic manifold; Lagrangian submanifold;
D O I：
10.1016/j.jmaa.2003.09.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We will define a new transformation of PDE systems as follows. Given a particular PDE system F, there is a new system (F) over cap whose solutions are the spaces of elements attached to the solutions of F. We will show that the system (F) over cap is a second order PDE system in a single unknown. As an application, we will derive as well a global version of the Drach theorem. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：530 / 539
页数：10
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