We consider a model for the evolution of damage in elastic materials originally proposed by Michel Frémond. For the corresponding PDE system, we prove existence and uniqueness of a local in time strong solution. The main novelty of our result stands in the fact that, differently from previous contributions, we assume no occurrence of any type of regularising terms.

中文翻译：

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Frémond 弹性固体完全损伤模型的局部适定性

我们考虑了最初由 Michel Frémond 提出的弹性材料损伤演变模型。对于相应的偏微分方程系统，我们证明了局部时间强解的存在性和唯一性。我们的结果的主要新颖之处在于，与以前的贡献不同，我们假设没有出现任何类型的正则化项。