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arXiv · 2510.20583

Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks

Federico Cianci·Gianni Dal Maso
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Abstract

We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and its continuous dependence on the cracks.

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Federico Cianci, Gianni Dal Maso. 2025-10-23. Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks. https://doi.org/10.57262/die034-1112-595

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