Open AccessFunctional Algebras and Dimensional Reduction in the LPDEs Integration Problem
Author(s) -
А. В. Шаповалов,
И. В. Широков
Publication year - 1997
Publication title -
journal of nonlinear mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.544
H-Index - 40
eISSN - 1776-0852
pISSN - 1402-9251
DOI - 10.2991/jnmp.1997.4.1-2.7
Subject(s) - noncommutative geometry , mathematics , algebra over a field , reduction (mathematics) , partial differential equation , hamiltonian (control theory) , pure mathematics , mathematical analysis , mathematical optimization , geometry
The paper is devoted to application of the noncommutative integration method for linear partial dierential 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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