13 citations · 37 across the 19 of their papers we have counts for
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math.AP2017
Reachability problems for a wave-wave system with a memory term
Paola Loreti, Daniela Sforza
We solve the reachability problem for a coupled wave-wave system with an integro-differential term. The control functions act on one side of the boundary. The estimates on the time…
math.AP2017
Inverse Observability Inequalities for Integrodifferential Equations in Square Domains
Paola Loreti, Daniela Sforza
In this paper we will consider oscillations of square viscoelastic membranes by adding to the wave equation another term, which takes into account the memory. To this end, we will…
math.AP2017★ 13 cited
Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case
Paola Loreti, Daniela Sforza, Masahiro Yamamoto
We consider an anisotropic hyperbolic equation with memory term: $$ \partial_t^2 u(x,t) = \sum_{i,j=1}^n \partial_i(a_{ij}(x)\partial_ju) + \int^t_0 \sum_{| α| \le 2} b_α(x,t,η)\pa…