Compatibility, Multi-brackets and Integrability of Systems of PDEs

被引：0
|
作者：
Boris Kruglikov
Valentin Lychagin
机构：
[1] University of Tromsø,Institute of Mathematics and Statistics
来源：
Acta Applicandae Mathematicae | 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.
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页码：151 / 196
页数：45
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