一类未知函数的偏微分方程组的可积性问题，2

Q3 Mathematics Proceedings of the International Geometry Center Pub Date : 2019-02-25 DOI:10.15673/tmgc.v12i1.1366

A. Kumpera

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引用次数: 1

摘要

我们在这里继续讨论第一部分，[18]，通过检查偏微分方程的局部等价问题并用一些例子说明它，因为几乎任何积分过程或方法实际上都是涉及合适模型的局部等价问题。最后讨论不可积Pfaffian系统及其最大维数的积分流形。

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On the integrability problem for systems of partial differential equations in one unknown function, II

We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem involving a suitable model. We terminate the discussion by inquiring on non-integrable Pfaffian systems and on their integral manifolds of maximal dimension.

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