Conservation laws, differential identities, and constraints of partial differential equations

被引:0
作者
V. V. Zharinov
机构
[1] Steklov Mathematical Institute of the Russian Academy of Sciences,
来源
Theoretical and Mathematical Physics | 2015年 / 185卷
关键词
differential algebra; conservation law; differential identity; differential constraint;
D O I
暂无
中图分类号
学科分类号
摘要
We consider specific cohomological properties such as low-dimensional conservation laws and differential identities of systems of partial differential equations (PDEs). We show that such properties are inherent to complex systems such as evolution systems with constraints. The mathematical tools used here are the algebraic analysis of PDEs and cohomologies over differential algebras and modules.
引用
收藏
页码:1557 / 1581
页数:24
相关论文
共 7 条
[1]  
Zharinov V. V.(1986)undefined Theor. Math. Phys. 68 745-751
[2]  
Zharinov V. V.(1992)undefined Math. USSR-Sb. 71 319-329
[3]  
Zharinov V. V.(1994)undefined Russian Acad. Sci. Sb. Math. 79 33-45
[4]  
Zharinov V. V.(1995)undefined Proc. Steklov Inst. Math. 203 391-402
[5]  
Zharinov V. V.(2010)undefined Theor. Math. Phys. 163 401-413
[6]  
Zharinov V. V.(2013)undefined Theor. Math. Phys. 174 220-235
[7]  
Tsujishita T.(1982)undefined Osaka J. Math. 19 311-363