通用PDE的结果适应流行率概念
Adaptation of the generic PDE's results to the notion of prevalence
摘要：
许多一般性的结果已被证明，特别是关于偏微分方程解的定性行为。最近，向量空间中出现了一个新的“几乎总是”概念，即普遍度。这个概念是有趣的，因为，例如，流行集是等价的有限维空间中的完整的勒贝格测度集。这篇文章的目的是适应通用PDE的结果，患病率的概念。特别是，我们考虑的情况下，Sard-Smale定理或参数的分析扰动。
英文摘要：
Many generic results have been proved, especially concerning the qualitative behaviour of solutions of partial differential equations. Recently, a new notion of "almost always", the prevalence, has been developped for vectorial spaces. This notion is interesting since, for example, prevalence sets are equivalent to the full Lebesgue measure sets in finite dimensional spaces. The purpose of this article is to adapt the generic PDE's results to the notion of prevalence. In particular, we consider the cases where Sard-Smale theorems or arguments of analytic perturbations of the parameters are used.
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