Functional algebras and dimensional reduction in the LPDEs integration problem

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

ASJC Scopus subject areas

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

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10.2991/jnmp.1997.4.1-2.7

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title = "Functional algebras and dimensional reduction in the LPDEs integration problem",

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.",

author = "Shapovalov, {A. V.} and Shirokov, {I. V.}",

year = "1997",

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Functional algebras and dimensional reduction in the LPDEs integration problem

Abstract

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