Functional algebras and dimensional reduction in the LPDEs integration problem

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Abstract

The paper is devoted to application of the noncommutative integration method for linear partial differential equations. This method is based on the noncommutative integration theory for finite-dimensional Hamiltonian systems and is generalized for so-called functional algebras.

Original language	English
Pages (from-to)	62-68
Number of pages	7
Journal	Journal of Nonlinear Mathematical Physics
Volume	4
Issue number	1-2
DOIs	https://doi.org/10.2991/jnmp.1997.4.1-2.7
Publication status	Published - 1997

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ASJC Scopus subject areas

Physics and Astronomy(all)
Statistical and Nonlinear Physics
Mathematical Physics

Cite this

Shapovalov, A. V., & Shirokov, I. V. (1997). Functional algebras and dimensional reduction in the LPDEs integration problem. Journal of Nonlinear Mathematical Physics, 4(1-2), 62-68. https://doi.org/10.2991/jnmp.1997.4.1-2.7

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abstract = "The paper is devoted to application of the noncommutative integration method for linear partial differential equations. This method is based on the noncommutative integration theory for finite-dimensional Hamiltonian systems and is generalized for so-called functional algebras.",

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Access to Document

10.2991/jnmp.1997.4.1-2.7