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Local well-posedness for Fr\'emond's model of complete damage in elastic solids

Analysis of PDEs 2020-06-26 v1

Abstract

We consider a model for the evolution of damage in elastic materials originally proposed by Michel Fr\'emond. 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 regularizing terms.

Keywords

Cite

@article{arxiv.2006.14240,
  title  = {Local well-posedness for Fr\'emond's model of complete damage in elastic solids},
  author = {Goro Akagi and Giulio Schimperna},
  journal= {arXiv preprint arXiv:2006.14240},
  year   = {2020}
}

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16 pages