A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method

被引：0

作者：

Kruglikov, B ^{[1
]}

Lychagin, V ^{[1
]}

机构：

[1] Univ Tromso, Inst Math & Stat, N-9037 Tromso, Norway

来源：

GLOBAL ANALYSIS AND APPLIED MATHEMATICS | 2004年 / 729卷

关键词：

Jacobi and Mayer brackets; Spencer; 8-cohomology; Weyl tensor; integrals; characteristics; compatibility of PDEs;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a general compatibility theorem for overdetermined systems of scalar partial differential equations of complete intersection type in terms of generalized Mayer brackets. As an applications we propose a generalization of the classical Lagrange-Charpit method for integration of a single scalar PDE.

引用

页码：39 / 53

页数：15

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