Compatibility, Multi-brackets and Integrability of Systems of PDEs
被引:0
|
作者:
Boris Kruglikov
论文数: 0引用数: 0
h-index: 0
机构:University of Tromsø,Institute of Mathematics and Statistics
Boris Kruglikov
Valentin Lychagin
论文数: 0引用数: 0
h-index: 0
机构:University of Tromsø,Institute of Mathematics and Statistics
Valentin Lychagin
机构:
[1] University of Tromsø,Institute of Mathematics and Statistics
来源:
Acta Applicandae Mathematicae
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2010年
/
109卷
关键词:
Multi-brackets;
Jacobi-Mayer bracket;
Spencer cohomology;
Koszul homology;
Buchsbaum-Rim complex;
Integral;
Characteristics;
System of PDEs;
Symbols;
Compatibility;
35N10;
58A20;
58H10;
35A30;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators. These multi-brackets generalize the higher Jacobi-Mayer brackets, important in the study of evolutionary equations and the integrability problem. We also calculate Spencer δ-cohomology of generalized complete intersections and evaluate the formal functional dimension of the solutions space. The results are used to establish new integration methods.
机构:
Univ Complutense Madrid, Fac Ciencias Fisicas, Dept Fis Teor, Madrid 28040, Spain
Inst Ciencias Matemat, C Nicolas Cabrera 13-15, Madrid 28049, SpainUniv Complutense Madrid, Fac Ciencias Fisicas, Dept Fis Teor, Madrid 28040, Spain