Theoretical and Mathematical Physics

, Volume 185, Issue 2, pp 1557–1581 | Cite as

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

Article

Abstract

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.

Keywords

differential algebra conservation law differential identity differential constraint 

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Steklov Mathematical Institute of the Russian Academy of SciencesMoscowRussia

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