English

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

Analysis of PDEs 2025-10-24 v1

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.

Cite

@article{arxiv.2510.20583,
  title  = {Uniqueness and continuous dependence for a viscoelastic problem with memory in domains with time dependent cracks},
  author = {Federico Cianci and Gianni Dal Maso},
  journal= {arXiv preprint arXiv:2510.20583},
  year   = {2025}
}

Comments

Published in 2021

R2 v1 2026-07-01T07:02:12.105Z