Published Paper

Inserted: 13 jan 2026
Last Updated: 13 jan 2026

Journal: SEMA SIMAI Springer Series
Volume: 34
Pages: 157-167
Year: 2024
Doi: https://doi.org/10.1007/978-3-031-55260-1_10

Abstract:

We survey a number of results obtained in 9, 8, 7 that provide existence of solutions for a wide class of hyperbolic obstacle-type problems, including non local operators as well as vector-valued maps. The main results are obtained through a variational scheme inspired to De Giorgi’s minimizing movements. As a first ap- plication, a compactness result is derived for energy concentration sets in hyperbolic Ginzburg-Landau models for cosmology. Further applications are given for the de- scription of the dynamics of a string interacting with a rigid substrate through an adhesive layer.

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