Inserted: 21 apr 2021
Last Updated: 5 oct 2021
We discuss a notion of weak solution to a semilinear wave equation that models the interaction of an elastic body with a rigid substrate through an adhesive layer, relying on results in 2. Our analysis embraces the vector-valued case in arbitrary dimension as well as the case of non-local operators (e.g. fractional Laplacian).
Keywords: nonlinear elasticity, wave equations, non-local wave equations, adhesive phenomena